902951959968 has 48 divisors (see below), whose sum is σ = 2633609885760. Its totient is φ = 300983986368.

The previous prime is 902951959961. The next prime is 902951959997. The reversal of 902951959968 is 869959159209.

902951959968 is a `hidden beast` number, since 9 + 0 + 29 + 5 + 1 + 9 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×902951959968² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 902951959896 and 902951959905.

It is not an unprimeable number, because it can be changed into a prime (902951959961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522540780 + ... + 522542507.

It is an arithmetic number, because the mean of its divisors is an integer number (54866872620).

Almost surely, 2^902951959968 is an apocalyptic number.

It is an amenable number.

902951959968 is an abundant number, since it is smaller than the sum of its proper divisors (1730657925792).

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

902951959968 is a wasteful number, since it uses less digits than its factorization.

902951959968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045083306 (or 1045083292 counting only the distinct ones).

The product of its (nonzero) digits is 141717600, while the sum is 72.

The spelling of 902951959968 in words is "nine hundred two billion, nine hundred fifty-one million, nine hundred fifty-nine thousand, nine hundred sixty-eight".