34152116704992 has 1152 divisors, whose sum is σ = 125447764635648. Its totient is φ = 8994679603200.

The previous prime is 34152116704919. The next prime is 34152116705017. The reversal of 34152116704992 is 29940761125143.

34152116704992 is a `hidden beast` number, since 3 + 4 + 1 + 521 + 1 + 6 + 70 + 49 + 9 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 1275413908 + ... + 1275440684.

It is an arithmetic number, because the mean of its divisors is an integer number (108895629024).

Almost surely, 2^{34152116704992} is an apocalyptic number.

34152116704992 is a gapful number since it is divisible by the number (32) 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 34152116704992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62723882317824).

34152116704992 is an abundant number, since it is smaller than the sum of its proper divisors (91295647930656).

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

34152116704992 is a wasteful number, since it uses less digits than its factorization.

34152116704992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26894 (or 26874 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 34152116704992 in words is "thirty-four trillion, one hundred fifty-two billion, one hundred sixteen million, seven hundred four thousand, nine hundred ninety-two".