1137395894976 has 448 divisors, whose sum is σ = 3693210393600. Its totient is φ = 340385587200.

The previous prime is 1137395894893. The next prime is 1137395894981. The reversal of 1137395894976 is 6794985937311.

1137395894976 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 39 + 589 + 4 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1114001346 + ... + 1114002366.

It is an arithmetic number, because the mean of its divisors is an integer number (8243773200).

Almost surely, 2^{1137395894976} is an apocalyptic number.

1137395894976 is a gapful number since it is divisible by the number (16) 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 1137395894976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846605196800).

1137395894976 is an abundant number, since it is smaller than the sum of its proper divisors (2555814498624).

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

1137395894976 is a wasteful number, since it uses less digits than its factorization.

1137395894976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1709 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 1137395894976 in words is "one trillion, one hundred thirty-seven billion, three hundred ninety-five million, eight hundred ninety-four thousand, nine hundred seventy-six".