892378736964 has 405 divisors, whose sum is σ = 2784218017581. Its totient is φ = 248936276160.

The previous prime is 892378736933. The next prime is 892378736989. The reversal of 892378736964 is 469637873298.

The square root of 892378736964 is 944658.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 132008688900 + 760370048064 = 363330^2 + 871992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 892378736892 and 892378736901.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2431549509 + ... + 2431549875.

Almost surely, 2^892378736964 is an apocalyptic number.

892378736964 is the 944658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 892378736964

892378736964 is an abundant number, since it is smaller than the sum of its proper divisors (1891839280617).

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

892378736964 is a wasteful number, since it uses less digits than its factorization.

892378736964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 396 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 892378736964 in words is "eight hundred ninety-two billion, three hundred seventy-eight million, seven hundred thirty-six thousand, nine hundred sixty-four".