1237955468064 has 192 divisors, whose sum is σ = 3805245480960. Its totient is φ = 345020497920.

The previous prime is 1237955468047. The next prime is 1237955468117. The reversal of 1237955468064 is 4608645597321.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1237955467989 and 1237955468007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22193169 + ... + 22248879.

It is an arithmetic number, because the mean of its divisors is an integer number (19818986880).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1237955468064 = 2475910936128, but 3⋅1237955468064 = 3713866404192 is not.

Almost surely, 2^{1237955468064} is an apocalyptic number.

1237955468064 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 1237955468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902622740480).

1237955468064 is an abundant number, since it is smaller than the sum of its proper divisors (2567290012896).

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

1237955468064 is a wasteful number, since it uses less digits than its factorization.

1237955468064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56543 (or 56535 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 1237955468064 in words is "one trillion, two hundred thirty-seven billion, nine hundred fifty-five million, four hundred sixty-eight thousand, sixty-four".