147161235456 has 405 divisors, whose sum is σ = 453701286129. Its totient is φ = 47727968256.

The previous prime is 147161235449. The next prime is 147161235479. The reversal of 147161235456 is 654532161741.

It is a happy number.

The square root of 147161235456 is 383616.

It is a perfect power (a square), and thus also a powerful number.

147161235456 is a `hidden beast` number, since 1 + 4 + 7 + 161 + 2 + 35 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131681894400 + 15479341056 = 362880^2 + 124416^2 .

Its product of digits (604800) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3977330670 + ... + 3977330706.

Almost surely, 2^147161235456 is an apocalyptic number.

147161235456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

147161235456 is the 383616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147161235456

147161235456 is an abundant number, since it is smaller than the sum of its proper divisors (306540050673).

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

147161235456 is an frugal number, since it uses more digits than its factorization.

147161235456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 42 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 147161235456 in words is "one hundred forty-seven billion, one hundred sixty-one million, two hundred thirty-five thousand, four hundred fifty-six".