11621364164000 has 48 divisors (see below), whose sum is σ = 28553691760776. Its totient is φ = 4648545664000.

The previous prime is 11621364163957. The next prime is 11621364164017. The reversal of 11621364164000 is 46146312611.

It can be written as a sum of positive squares in 4 ways, for example, as 5755028273296 + 5866335890704 = 2398964^2 + 2422052^2 .

It is a super-2 number, since 2×11621364164000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1452666521 + ... + 1452674520.

Almost surely, 2^{11621364164000} is an apocalyptic number.

11621364164000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11621364164000 is an abundant number, since it is smaller than the sum of its proper divisors (16932327596776).

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

11621364164000 is an equidigital number, since it uses as much as digits as its factorization.

11621364164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905341066 (or 2905341048 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 11621364164000 in words is "eleven trillion, six hundred twenty-one billion, three hundred sixty-four million, one hundred sixty-four thousand".