152943967942992 has 80 divisors (see below), whose sum is σ = 450870856495680. Its totient is φ = 49603449057408.

The previous prime is 152943967942991. The next prime is 152943967943003. The reversal of 152943967942992 is 299249769349251.

152943967942992 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 4 + 39 + 6 + 79 + 429 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152943967942991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4784267298 + ... + 4784299265.

It is an arithmetic number, because the mean of its divisors is an integer number (5635885706196).

Almost surely, 2^{152943967942992} is an apocalyptic number.

152943967942992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152943967942992 is an abundant number, since it is smaller than the sum of its proper divisors (297926888552688).

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

152943967942992 is a wasteful number, since it uses less digits than its factorization.

152943967942992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568566617 (or 9568566605 counting only the distinct ones).

The product of its digits is 4761711360, while the sum is 81.

The spelling of 152943967942992 in words is "one hundred fifty-two trillion, nine hundred forty-three billion, nine hundred sixty-seven million, nine hundred forty-two thousand, nine hundred ninety-two".