1142164590864 has 120 divisors (see below), whose sum is σ = 3260019949536. Its totient is φ = 344316825600.

The previous prime is 1142164590859. The next prime is 1142164590877. The reversal of 1142164590864 is 4680954612411.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611479 + ... + 1630409.

Almost surely, 2^{1142164590864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142164590864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630009974768).

1142164590864 is an abundant number, since it is smaller than the sum of its proper divisors (2117855358672).

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

1142164590864 is a wasteful number, since it uses less digits than its factorization.

1142164590864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019157 (or 1019140 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 1142164590864 in words is "one trillion, one hundred forty-two billion, one hundred sixty-four million, five hundred ninety thousand, eight hundred sixty-four".