11506814981415 has 320 divisors, whose sum is σ = 24301903481856. Its totient is φ = 5156934709248.

The previous prime is 11506814981287. The next prime is 11506814981429. The reversal of 11506814981415 is 51418941860511.

11506814981415 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 6 + 8 + 1 + 498 + 141 + 5 = 666.

It is not a de Polignac number, because 11506814981415 - 2⁷ = 11506814981287 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 396403132 + ... + 396432158.

Almost surely, 2^{11506814981415} is an apocalyptic number.

11506814981415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11506814981415 is an abundant number, since it is smaller than the sum of its proper divisors (12795088500441).

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

11506814981415 is a wasteful number, since it uses less digits than its factorization.

11506814981415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29220 (or 29211 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 54.

The spelling of 11506814981415 in words is "eleven trillion, five hundred six billion, eight hundred fourteen million, nine hundred eighty-one thousand, four hundred fifteen".