11464356145000 has 120 divisors (see below), whose sum is σ = 29524887488250. Its totient is φ = 4168856560000.

The previous prime is 11464356144971. The next prime is 11464356145031. The reversal of 11464356145000 is 54165346411.

It can be written as a sum of positive squares in 5 ways, for example, as 125660324196 + 11338695820804 = 354486^2 + 3367298^2 .

It is a super-2 number, since 2×11464356145000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8869675 + ... + 10079674.

Almost surely, 2^{11464356145000} is an apocalyptic number.

11464356145000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11464356145000 is an abundant number, since it is smaller than the sum of its proper divisors (18060531343250).

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

11464356145000 is a wasteful number, since it uses less digits than its factorization.

11464356145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18949397 (or 18949367 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 11464356145000 in words is "eleven trillion, four hundred sixty-four billion, three hundred fifty-six million, one hundred forty-five thousand".