372131181821952 has 1088 divisors, whose sum is σ = 1299875356569600. Its totient is φ = 103014413107200.

The previous prime is 372131181821947. The next prime is 372131181821969. The reversal of 372131181821952 is 259128181131273.

372131181821952 is a `hidden beast` number, since 3 + 72 + 131 + 181 + 8 + 219 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58797781924 + ... + 58797788252.

It is an arithmetic number, because the mean of its divisors is an integer number (1194738379200).

Almost surely, 2^{372131181821952} is an apocalyptic number.

372131181821952 is a gapful number since it is divisible by the number (32) 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 372131181821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649937678284800).

372131181821952 is an abundant number, since it is smaller than the sum of its proper divisors (927744174747648).

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

372131181821952 is an equidigital number, since it uses as much as digits as its factorization.

372131181821952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525 (or 6489 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 372131181821952 in words is "three hundred seventy-two trillion, one hundred thirty-one billion, one hundred eighty-one million, eight hundred twenty-one thousand, nine hundred fifty-two".