11456137106640 has 800 divisors, whose sum is σ = 43750108385280. Its totient is φ = 2765429517312.

The previous prime is 11456137106567. The next prime is 11456137106657. The reversal of 11456137106640 is 4660173165411.

11456137106640 is a `hidden beast` number, since 1 + 1 + 4 + 561 + 37 + 10 + 6 + 6 + 40 = 666.

It is a super-2 number, since 2×11456137106640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4029593059 + ... + 4029595901.

Almost surely, 2^{11456137106640} is an apocalyptic number.

11456137106640 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 11456137106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21875054192640).

11456137106640 is an abundant number, since it is smaller than the sum of its proper divisors (32293971278640).

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

11456137106640 is a wasteful number, since it uses less digits than its factorization.

11456137106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11456137106640 in words is "eleven trillion, four hundred fifty-six billion, one hundred thirty-seven million, one hundred six thousand, six hundred forty".