993206524464 has 1920 divisors, whose sum is σ = 3988224737280. Its totient is φ = 233718566400.

The previous prime is 993206524421. The next prime is 993206524481. The reversal of 993206524464 is 464425602399.

993206524464 is a `hidden beast` number, since 9 + 93 + 20 + 6 + 524 + 4 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 993206524464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21132053689 + ... + 21132053735.

It is an arithmetic number, because the mean of its divisors is an integer number (2077200384).

Almost surely, 2^993206524464 is an apocalyptic number.

993206524464 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993206524464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994112368640).

993206524464 is an abundant number, since it is smaller than the sum of its proper divisors (2995018212816).

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

993206524464 is a wasteful number, since it uses less digits than its factorization.

993206524464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 993206524464 in words is "nine hundred ninety-three billion, two hundred six million, five hundred twenty-four thousand, four hundred sixty-four".