11406786531264 has 560 divisors, whose sum is σ = 36380042352800. Its totient is φ = 3504787895808.

The previous prime is 11406786531253. The next prime is 11406786531271. The reversal of 11406786531264 is 46213568760411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11406786531264 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 6 + 7 + 86 + 531 + 26 + 4 = 666.

It is a super-2 number, since 2×11406786531264² (a number of 27 digits) contains 22 as substring.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 11406786531264 = 2812³ + 22496³ = 12654³ + 21090³.

It is a self number, because there is not a number n which added to its sum of digits gives 11406786531264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 308291527854 + ... + 308291527890.

Almost surely, 2^{11406786531264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11406786531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190021176400).

11406786531264 is an abundant number, since it is smaller than the sum of its proper divisors (24973255821536).

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

11406786531264 is an frugal number, since it uses more digits than its factorization.

11406786531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 11406786531264 in words is "eleven trillion, four hundred six billion, seven hundred eighty-six million, five hundred thirty-one thousand, two hundred sixty-four".