83971462752 has 192 divisors, whose sum is σ = 246781080000. Its totient is φ = 27778351104.

The previous prime is 83971462747. The next prime is 83971462759. The reversal of 83971462752 is 25726417938.

It is a happy number.

83971462752 is a `hidden beast` number, since 8 + 3 + 9 + 7 + 1 + 4 + 627 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83971462759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90388624 + ... + 90389552.

It is an arithmetic number, because the mean of its divisors is an integer number (1285318125).

Almost surely, 2^83971462752 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 83971462752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123390540000).

83971462752 is an abundant number, since it is smaller than the sum of its proper divisors (162809617248).

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

83971462752 is a wasteful number, since it uses less digits than its factorization.

83971462752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1616 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 83971462752 in words is "eighty-three billion, nine hundred seventy-one million, four hundred sixty-two thousand, seven hundred fifty-two".