11937676146 has 64 divisors (see below), whose sum is σ = 26580234240. Its totient is φ = 3543688640.

The previous prime is 11937676141. The next prime is 11937676147. The reversal of 11937676146 is 64167673911.

It is a super-2 number, since 2×11937676146² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11937676141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135711 + ... + 1146173.

It is an arithmetic number, because the mean of its divisors is an integer number (415316160).

Almost surely, 2^11937676146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11937676146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13290117120).

11937676146 is an abundant number, since it is smaller than the sum of its proper divisors (14642558094).

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

11937676146 is a wasteful number, since it uses less digits than its factorization.

11937676146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831.

The product of its digits is 1143072, while the sum is 51.

The spelling of 11937676146 in words is "eleven billion, nine hundred thirty-seven million, six hundred seventy-six thousand, one hundred forty-six".