373248000000 has 784 divisors, whose sum is σ = 1399000744905. Its totient is φ = 99532800000.

The previous prime is 373247999989. The next prime is 373248000011. The reversal of 373248000000 is 842373.

The cubic root of 373248000000 is 7200.

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

It is an interprime number because it is at equal distance from previous prime (373247999989) and next prime (373248000011).

It can be written as a sum of positive squares in 4 ways, for example, as 63649234944 + 309598765056 = 252288^2 + 556416^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=432000.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 74649599998 + ... + 74649600002.

Almost surely, 2^373248000000 is an apocalyptic number.

373248000000 is a gapful number since it is divisible by the number (30) 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 373248000000

373248000000 is an abundant number, since it is smaller than the sum of its proper divisors (1025752744905).

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

373248000000 is an frugal number, since it uses more digits than its factorization.

373248000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Multiplying 373248000000 by its sum of digits (27), we get a cube (10077696000000 = 21600³).

373248000000 divided by its sum of digits (27) gives a cube (13824000000 = 2400³).

Adding to 373248000000 its reverse (842373), we get a palindrome (373248842373).

The spelling of 373248000000 in words is "three hundred seventy-three billion, two hundred forty-eight million", and thus it is an aban number.