142811045664 has 288 divisors, whose sum is σ = 456592489920. Its totient is φ = 38918412288.

The previous prime is 142811045659. The next prime is 142811045681. The reversal of 142811045664 is 466540118241.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11316222 + ... + 11328834.

It is an arithmetic number, because the mean of its divisors is an integer number (1585390590).

Almost surely, 2^142811045664 is an apocalyptic number.

142811045664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142811045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228296244960).

142811045664 is an abundant number, since it is smaller than the sum of its proper divisors (313781444256).

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

142811045664 is a wasteful number, since it uses less digits than its factorization.

142811045664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12752 (or 12737 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 142811045664 in words is "one hundred forty-two billion, eight hundred eleven million, forty-five thousand, six hundred sixty-four".