377974121616 has 405 divisors, whose sum is σ = 1334811249369. Its totient is φ = 99508421376.

The previous prime is 377974121611. The next prime is 377974121639. The reversal of 377974121616 is 616121479773.

The square root of 377974121616 is 614796.

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

377974121616 is a `hidden beast` number, since 3 + 7 + 7 + 9 + 7 + 4 + 12 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55913331600 + 322060790016 = 236460^2 + 567504^2 .

It is a super-2 number, since 2×377974121616² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2667168) is a multiple of the sum of its prime divisors (588).

It is not an unprimeable number, because it can be changed into a prime (377974121611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 671356951 + ... + 671357513.

Almost surely, 2^377974121616 is an apocalyptic number.

377974121616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

377974121616 is the 614796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377974121616

377974121616 is an abundant number, since it is smaller than the sum of its proper divisors (956837127753).

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

377974121616 is a wasteful number, since it uses less digits than its factorization.

377974121616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 588 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 377974121616 in words is "three hundred seventy-seven billion, nine hundred seventy-four million, one hundred twenty-one thousand, six hundred sixteen".