11514211601610 has 32 divisors (see below), whose sum is σ = 27706259589120. Its totient is φ = 3062439566528.

The previous prime is 11514211601597. The next prime is 11514211601677. The reversal of 11514211601610 is 1610611241511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501042105 + ... + 501065084.

It is an arithmetic number, because the mean of its divisors is an integer number (865820612160).

Almost surely, 2^{11514211601610} is an apocalyptic number.

11514211601610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11514211601610 is an abundant number, since it is smaller than the sum of its proper divisors (16192047987510).

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

11514211601610 is a wasteful number, since it uses less digits than its factorization.

11514211601610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002107582.

The product of its (nonzero) digits is 1440, while the sum is 30.

It can be divided in two parts, 1151421 and 1601610, that added together give a triangular number (2753031 = T₂₃₄₆).

The spelling of 11514211601610 in words is "eleven trillion, five hundred fourteen billion, two hundred eleven million, six hundred one thousand, six hundred ten".