18631619742096 has 315 divisors, whose sum is σ = 57518858199793. Its totient is φ = 5842727769600.

The previous prime is 18631619742067. The next prime is 18631619742101. The reversal of 18631619742096 is 69024791613681.

The square root of 18631619742096 is 4316436.

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

18631619742096 is a `hidden beast` number, since 1 + 8 + 6 + 3 + 1 + 619 + 7 + 4 + 2 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14505586304400 + 4126033437696 = 3808620^2 + 2031264^2 .

It is a super-2 number, since 2×18631619742096² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7924975321 + ... + 7924977671.

Almost surely, 2^{18631619742096} is an apocalyptic number.

18631619742096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18631619742096 is the 4316436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18631619742096

18631619742096 is an abundant number, since it is smaller than the sum of its proper divisors (38887238457697).

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

18631619742096 is an frugal number, since it uses more digits than its factorization.

18631619742096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 18631619742096 in words is "eighteen trillion, six hundred thirty-one billion, six hundred nineteen million, seven hundred forty-two thousand, ninety-six".