154490327536896 has 576 divisors, whose sum is σ = 502334421120000. Its totient is φ = 46543223808000.

The previous prime is 154490327536841. The next prime is 154490327536927. The reversal of 154490327536896 is 698635723094451.

154490327536896 is a `hidden beast` number, since 1 + 5 + 4 + 4 + 9 + 0 + 3 + 2 + 7 + 536 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×154490327536896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330619455 + ... + 1330735553.

It is an arithmetic number, because the mean of its divisors is an integer number (872108370000).

It is a 1-persistent number, because it is pandigital, but 2⋅154490327536896 = 308980655073792 is not.

Almost surely, 2^{154490327536896} is an apocalyptic number.

154490327536896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154490327536896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251167210560000).

154490327536896 is an abundant number, since it is smaller than the sum of its proper divisors (347844093583104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

154490327536896 is a wasteful number, since it uses less digits than its factorization.

154490327536896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116447 (or 116427 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 154490327536896 in words is "one hundred fifty-four trillion, four hundred ninety billion, three hundred twenty-seven million, five hundred thirty-six thousand, eight hundred ninety-six".