147038097661056 has 1024 divisors, whose sum is σ = 536488012800000. Its totient is φ = 38732277399552.

The previous prime is 147038097661043. The next prime is 147038097661067. The reversal of 147038097661056 is 650166790830741.

147038097661056 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 3 + 8 + 0 + 9 + 7 + 6 + 610 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 147038097660984 and 147038097661002.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2202817570 + ... + 2202884318.

It is an arithmetic number, because the mean of its divisors is an integer number (523914075000).

Almost surely, 2^{147038097661056} is an apocalyptic number.

147038097661056 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 147038097661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268244006400000).

147038097661056 is an abundant number, since it is smaller than the sum of its proper divisors (389449915138944).

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

147038097661056 is a wasteful number, since it uses less digits than its factorization.

147038097661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66946 (or 66928 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 147038097661056 in words is "one hundred forty-seven trillion, thirty-eight billion, ninety-seven million, six hundred sixty-one thousand, fifty-six".