147074415736896 has 280 divisors, whose sum is σ = 441808380288000. Its totient is φ = 48369694703616.

The previous prime is 147074415736873. The next prime is 147074415736901. The reversal of 147074415736896 is 698637514470741.

147074415736896 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 7 + 4 + 41 + 573 + 6 + 8 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 576908785 + ... + 577163663.

Almost surely, 2^{147074415736896} is an apocalyptic number.

147074415736896 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 147074415736896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220904190144000).

147074415736896 is an abundant number, since it is smaller than the sum of its proper divisors (294733964551104).

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

147074415736896 is a wasteful number, since it uses less digits than its factorization.

147074415736896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256391 (or 256372 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 147074415736896 in words is "one hundred forty-seven trillion, seventy-four billion, four hundred fifteen million, seven hundred thirty-six thousand, eight hundred ninety-six".