1371746918656 has 81 divisors (see below), whose sum is σ = 2779940262799. Its totient is φ = 675557388800.

The previous prime is 1371746918651. The next prime is 1371746918687. The reversal of 1371746918656 is 6568196471731.

It is a happy number.

The square root of 1371746918656 is 1171216.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1371746918651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1330500861 + ... + 1330501891.

Almost surely, 2^{1371746918656} is an apocalyptic number.

1371746918656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1371746918656 is the 1171216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1371746918656

1371746918656 is an abundant number, since it is smaller than the sum of its proper divisors (1408193344143).

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

1371746918656 is an frugal number, since it uses more digits than its factorization.

1371746918656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 1104 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 64.

Multiplying 1371746918656 by its sum of digits (64), we get a square (87791802793984 = 9369728²).

1371746918656 divided by its sum of digits (64) gives a square (21433545604 = 146402²).

The spelling of 1371746918656 in words is "one trillion, three hundred seventy-one billion, seven hundred forty-six million, nine hundred eighteen thousand, six hundred fifty-six".