375114801649536 has 768 divisors, whose sum is σ = 1237104960000000. Its totient is φ = 108792956473344.

The previous prime is 375114801649531. The next prime is 375114801649573. The reversal of 375114801649536 is 635946108411573.

375114801649536 is a `hidden beast` number, since 3 + 7 + 5 + 1 + 1 + 4 + 80 + 16 + 4 + 9 + 536 = 666.

It is a super-2 number, since 2×375114801649536² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (375114801649531) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9569479665 + ... + 9569518863.

It is an arithmetic number, because the mean of its divisors is an integer number (1610813750000).

Almost surely, 2^{375114801649536} is an apocalyptic number.

375114801649536 is a gapful number since it is divisible by the number (36) 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 375114801649536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618552480000000).

375114801649536 is an abundant number, since it is smaller than the sum of its proper divisors (861990158350464).

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

375114801649536 is a wasteful number, since it uses less digits than its factorization.

375114801649536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39476 (or 39435 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 375114801649536 in words is "three hundred seventy-five trillion, one hundred fourteen billion, eight hundred one million, six hundred forty-nine thousand, five hundred thirty-six".