33900148009728 has 432 divisors, whose sum is σ = 131234672814336. Its totient is φ = 8127907061760.

The previous prime is 33900148009711. The next prime is 33900148009733. The reversal of 33900148009728 is 82790084100933.

33900148009728 is a `hidden beast` number, since 3 + 3 + 90 + 0 + 1 + 480 + 0 + 9 + 72 + 8 = 666.

It is a super-2 number, since 2×33900148009728² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5043150 + ... + 9655757.

It is an arithmetic number, because the mean of its divisors is an integer number (303783964848).

Almost surely, 2^{33900148009728} is an apocalyptic number.

It is an amenable number.

33900148009728 is an abundant number, since it is smaller than the sum of its proper divisors (97334524804608).

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

33900148009728 is a wasteful number, since it uses less digits than its factorization.

33900148009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14698960 (or 14698943 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 33900148009728 in words is "thirty-three trillion, nine hundred billion, one hundred forty-eight million, nine thousand, seven hundred twenty-eight".