33401656351056 has 480 divisors, whose sum is σ = 108594288413568. Its totient is φ = 8787325747200.

The previous prime is 33401656351013. The next prime is 33401656351067. The reversal of 33401656351056 is 65015365610433.

It is a super-2 number, since 2×33401656351056² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 33401656350996 and 33401656351014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 748038331 + ... + 748082981.

Almost surely, 2^{33401656351056} 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 33401656351056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54297144206784).

33401656351056 is an abundant number, since it is smaller than the sum of its proper divisors (75192632062512).

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

33401656351056 is a wasteful number, since it uses less digits than its factorization.

33401656351056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45099 (or 45086 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 33401656351056 in words is "thirty-three trillion, four hundred one billion, six hundred fifty-six million, three hundred fifty-one thousand, fifty-six".