9002893874436 has 480 divisors, whose sum is σ = 29612052594432. Its totient is φ = 2317019074560.

The previous prime is 9002893874383. The next prime is 9002893874521. The reversal of 9002893874436 is 6344783982009.

9002893874436 is a `hidden beast` number, since 9 + 0 + 0 + 28 + 93 + 87 + 443 + 6 = 666.

It is a super-2 number, since 2×9002893874436² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2095155840 + ... + 2095160136.

Almost surely, 2^{9002893874436} 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 9002893874436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14806026297216).

9002893874436 is an abundant number, since it is smaller than the sum of its proper divisors (20609158719996).

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

9002893874436 is a wasteful number, since it uses less digits than its factorization.

9002893874436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 9002893874436 in words is "nine trillion, two billion, eight hundred ninety-three million, eight hundred seventy-four thousand, four hundred thirty-six".