9918977152 has 128 divisors (see below), whose sum is σ = 23270688000. Its totient is φ = 4122869760.

The previous prime is 9918977143. The next prime is 9918977153. The reversal of 9918977152 is 2517798199.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9918977152² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9918977153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7089349 + ... + 7090747.

It is an arithmetic number, because the mean of its divisors is an integer number (181802250).

Almost surely, 2^9918977152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9918977152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11635344000).

9918977152 is an abundant number, since it is smaller than the sum of its proper divisors (13351710848).

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

9918977152 is a wasteful number, since it uses less digits than its factorization.

9918977152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1642 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 58.

The square root of 9918977152 is about 99594.0618310148. The cubic root of 9918977152 is about 2148.6002897404.

The spelling of 9918977152 in words is "nine billion, nine hundred eighteen million, nine hundred seventy-seven thousand, one hundred fifty-two".