1137587387664 has 960 divisors, whose sum is σ = 3946680729600. Its totient is φ = 279353733120.

The previous prime is 1137587387647. The next prime is 1137587387681. The reversal of 1137587387664 is 4667837857311.

It is an interprime number because it is at equal distance from previous prime (1137587387647) and next prime (1137587387681).

It is a junction number, because it is equal to n+sod(n) for n = 1137587387595 and 1137587387604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5716519437 + ... + 5716519635.

It is an arithmetic number, because the mean of its divisors is an integer number (4111125760).

Almost surely, 2^{1137587387664} is an apocalyptic number.

1137587387664 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 1137587387664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973340364800).

1137587387664 is an abundant number, since it is smaller than the sum of its proper divisors (2809093341936).

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

1137587387664 is a wasteful number, since it uses less digits than its factorization.

1137587387664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its digits is 142248960, while the sum is 66.

It can be divided in two parts, 1137587 and 387664, that added together give a palindrome (1525251).

The spelling of 1137587387664 in words is "one trillion, one hundred thirty-seven billion, five hundred eighty-seven million, three hundred eighty-seven thousand, six hundred sixty-four".