631119600000 has 1152 divisors, whose sum is σ = 2424767304960. Its totient is φ = 163296000000.

The previous prime is 631119599953. The next prime is 631119600071. The reversal of 631119600000 is 6911136.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4179599925 + ... + 4179600075.

It is an arithmetic number, because the mean of its divisors is an integer number (2104832730).

Almost surely, 2^631119600000 is an apocalyptic number.

631119600000 is a gapful number since it is divisible by the number (60) 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 631119600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212383652480).

631119600000 is an abundant number, since it is smaller than the sum of its proper divisors (1793647704960).

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

631119600000 is an frugal number, since it uses more digits than its factorization.

631119600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 631119600000 in words is "six hundred thirty-one billion, one hundred nineteen million, six hundred thousand".