33112625364 has 864 divisors, whose sum is σ = 121340733696. Its totient is φ = 7659048960.

The previous prime is 33112625327. The next prime is 33112625387. The reversal of 33112625364 is 46352621133.

33112625364 is a `hidden beast` number, since 3 + 3 + 112 + 6 + 2 + 536 + 4 = 666.

It is a super-2 number, since 2×33112625364² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 542829894 + ... + 542829954.

It is an arithmetic number, because the mean of its divisors is an integer number (140440664).

Almost surely, 2^33112625364 is an apocalyptic number.

33112625364 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33112625364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60670366848).

33112625364 is an abundant number, since it is smaller than the sum of its proper divisors (88228108332).

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

33112625364 is a wasteful number, since it uses less digits than its factorization.

33112625364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 33112625364 in words is "thirty-three billion, one hundred twelve million, six hundred twenty-five thousand, three hundred sixty-four".