101024450392464 has 675 divisors, whose sum is σ = 312321959398449. Its totient is φ = 31523440861440.

The previous prime is 101024450392447. The next prime is 101024450392471. The reversal of 101024450392464 is 464293054420101.

The square root of 101024450392464 is 10051092.

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

101024450392464 is a `hidden beast` number, since 1 + 0 + 10 + 2 + 4 + 4 + 503 + 92 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3285127250064 + 97739323142400 = 1812492^2 + 9886320^2 .

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, 507660554637 + ... + 507660554835.

Almost surely, 2^{101024450392464} is an apocalyptic number.

101024450392464 is the 10051092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101024450392464

101024450392464 is an abundant number, since it is smaller than the sum of its proper divisors (211297509005985).

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

101024450392464 is an frugal number, since it uses more digits than its factorization.

101024450392464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 101024450392464 in words is "one hundred one trillion, twenty-four billion, four hundred fifty million, three hundred ninety-two thousand, four hundred sixty-four".