154961807616 has 1296 divisors, whose sum is σ = 619848657792. Its totient is φ = 37663211520.

The previous prime is 154961807593. The next prime is 154961807621. The reversal of 154961807616 is 616708169451.

154961807616 is a `hidden beast` number, since 1 + 5 + 4 + 9 + 6 + 18 + 0 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 895732906 + ... + 895733078.

Almost surely, 2^154961807616 is an apocalyptic number.

154961807616 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 154961807616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309924328896).

154961807616 is an abundant number, since it is smaller than the sum of its proper divisors (464886850176).

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

154961807616 is a wasteful number, since it uses less digits than its factorization.

154961807616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 154961807616 in words is "one hundred fifty-four billion, nine hundred sixty-one million, eight hundred seven thousand, six hundred sixteen".