1371874752864 has 960 divisors, whose sum is σ = 5172418944000. Its totient is φ = 353590272000.

The previous prime is 1371874752823. The next prime is 1371874752889. The reversal of 1371874752864 is 4682574781731.

It is a happy number.

1371874752864 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 8 + 7 + 47 + 528 + 64 = 666.

It is a super-2 number, since 2×1371874752864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1476721552 + ... + 1476722480.

It is an arithmetic number, because the mean of its divisors is an integer number (5387936400).

Almost surely, 2^{1371874752864} is an apocalyptic number.

1371874752864 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 1371874752864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586209472000).

1371874752864 is an abundant number, since it is smaller than the sum of its proper divisors (3800544191136).

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

1371874752864 is a wasteful number, since it uses less digits than its factorization.

1371874752864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1103 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The spelling of 1371874752864 in words is "one trillion, three hundred seventy-one billion, eight hundred seventy-four million, seven hundred fifty-two thousand, eight hundred sixty-four".