11623571960896 has 189 divisors, whose sum is σ = 28059226316919. Its totient is φ = 4763142413568.

The previous prime is 11623571960857. The next prime is 11623571960911. The reversal of 11623571960896 is 69806917532611.

The square root of 11623571960896 is 3409336.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4391223445 + ... + 4391226091.

Almost surely, 2^{11623571960896} is an apocalyptic number.

11623571960896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11623571960896 is the 3409336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11623571960896

11623571960896 is an abundant number, since it is smaller than the sum of its proper divisors (16435654356023).

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

11623571960896 is an frugal number, since it uses more digits than its factorization.

11623571960896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

Multiplying 11623571960896 by its sum of digits (64), we get a square (743908605497344 = 27274688²).

11623571960896 divided by its sum of digits (64) gives a square (181618311889 = 426167²).

The spelling of 11623571960896 in words is "eleven trillion, six hundred twenty-three billion, five hundred seventy-one million, nine hundred sixty thousand, eight hundred ninety-six".