972381376512 has 1560 divisors, whose sum is σ = 3758388058656. Its totient is φ = 248147214336.

The previous prime is 972381376507. The next prime is 972381376513. The reversal of 972381376512 is 215673183279.

972381376512 is a `hidden beast` number, since 97 + 2 + 3 + 8 + 1 + 37 + 6 + 512 = 666.

It is a super-2 number, since 2×972381376512² (a number of 25 digits) contains 22 as substring.

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 (972381376513) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9087676363 + ... + 9087676469.

Almost surely, 2^972381376512 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 972381376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879194029328).

972381376512 is an abundant number, since it is smaller than the sum of its proper divisors (2786006682144).

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

972381376512 is a wasteful number, since it uses less digits than its factorization.

972381376512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 175 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 972381376512 in words is "nine hundred seventy-two billion, three hundred eighty-one million, three hundred seventy-six thousand, five hundred twelve".