2136456360192 has 864 divisors, whose sum is σ = 7433486290944. Its totient is φ = 539913830400.

The previous prime is 2136456360139. The next prime is 2136456360209. The reversal of 2136456360192 is 2910636546312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5821406793 + ... + 5821407159.

It is an arithmetic number, because the mean of its divisors is an integer number (8603572096).

Almost surely, 2^{2136456360192} is an apocalyptic number.

2136456360192 is a gapful number since it is divisible by the number (22) 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 2136456360192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716743145472).

2136456360192 is an abundant number, since it is smaller than the sum of its proper divisors (5297029930752).

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

2136456360192 is an frugal number, since it uses more digits than its factorization.

2136456360192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 2136456360192 in words is "two trillion, one hundred thirty-six billion, four hundred fifty-six million, three hundred sixty thousand, one hundred ninety-two".