11455514864640 has 2464 divisors, whose sum is σ = 53631608564736. Its totient is φ = 2275558686720.

The previous prime is 11455514864621. The next prime is 11455514864671. The reversal of 11455514864640 is 4646841555411.

11455514864640 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 5 + 514 + 8 + 64 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

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

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 223 ways as a sum of consecutive naturals, for example, 6610221214 + ... + 6610222946.

Almost surely, 2^{11455514864640} is an apocalyptic number.

11455514864640 is a gapful number since it is divisible by the number (10) 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 11455514864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26815804282368).

11455514864640 is an abundant number, since it is smaller than the sum of its proper divisors (42176093700096).

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

11455514864640 is a wasteful number, since it uses less digits than its factorization.

11455514864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 11455514864640 in words is "eleven trillion, four hundred fifty-five billion, five hundred fourteen million, eight hundred sixty-four thousand, six hundred forty".