2158933798464 has 448 divisors, whose sum is σ = 6453710841600. Its totient is φ = 632933056512.

The previous prime is 2158933798429. The next prime is 2158933798499. The reversal of 2158933798464 is 4648973398512.

It is an interprime number because it is at equal distance from previous prime (2158933798429) and next prime (2158933798499).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 1872448512 + ... + 1872449664.

Almost surely, 2^{2158933798464} is an apocalyptic number.

2158933798464 is a gapful number since it is divisible by the number (24) 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 2158933798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226855420800).

2158933798464 is an abundant number, since it is smaller than the sum of its proper divisors (4294777043136).

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

2158933798464 is a wasteful number, since it uses less digits than its factorization.

2158933798464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1580 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 69.

The spelling of 2158933798464 in words is "two trillion, one hundred fifty-eight billion, nine hundred thirty-three million, seven hundred ninety-eight thousand, four hundred sixty-four".