9164955456 has 42 divisors (see below), whose sum is σ = 26269691682. Its totient is φ = 3054984960.

The previous prime is 9164955451. The next prime is 9164955479. The reversal of 9164955456 is 6545594619.

9164955456 is a `hidden beast` number, since 9 + 1 + 6 + 4 + 95 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7673760000 + 1491195456 = 87600^2 + 38616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9164955451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7955115 + ... + 7956266.

Almost surely, 2^9164955456 is an apocalyptic number.

9164955456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9164955456 is an abundant number, since it is smaller than the sum of its proper divisors (17104736226).

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

9164955456 is a wasteful number, since it uses less digits than its factorization.

9164955456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15911399 (or 15911386 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 9164955456 is about 95733.7738522827. The cubic root of 9164955456 is about 2092.7151555677.

The spelling of 9164955456 in words is "nine billion, one hundred sixty-four million, nine hundred fifty-five thousand, four hundred fifty-six".