31461948000 has 576 divisors, whose sum is σ = 134346401280. Its totient is φ = 6811776000.

The previous prime is 31461947989. The next prime is 31461948013. The reversal of 31461948000 is 84916413.

31461948000 is a `hidden beast` number, since 31 + 4 + 619 + 4 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 4784715 + ... + 4791285.

It is an arithmetic number, because the mean of its divisors is an integer number (233240280).

Almost surely, 2^31461948000 is an apocalyptic number.

31461948000 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 31461948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67173200640).

31461948000 is an abundant number, since it is smaller than the sum of its proper divisors (102884453280).

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

31461948000 is a wasteful number, since it uses less digits than its factorization.

31461948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6628 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 31461948000 in words is "thirty-one billion, four hundred sixty-one million, nine hundred forty-eight thousand".