11742141217632 has 96 divisors (see below), whose sum is σ = 35232817536000. Its totient is φ = 3354288549888.

The previous prime is 11742141217627. The next prime is 11742141217643. The reversal of 11742141217632 is 23671214124711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125744 + ... + 5291792.

It is an arithmetic number, because the mean of its divisors is an integer number (367008516000).

Almost surely, 2^{11742141217632} is an apocalyptic number.

11742141217632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11742141217632 is an abundant number, since it is smaller than the sum of its proper divisors (23490676318368).

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

11742141217632 is a wasteful number, since it uses less digits than its factorization.

11742141217632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171588 (or 3171580 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The spelling of 11742141217632 in words is "eleven trillion, seven hundred forty-two billion, one hundred forty-one million, two hundred seventeen thousand, six hundred thirty-two".