31404213902448 has 640 divisors, whose sum is σ = 98957778796800. Its totient is φ = 9495015063552.

The previous prime is 31404213902441. The next prime is 31404213902483. The reversal of 31404213902448 is 84420931240413.

31404213902448 is a `hidden beast` number, since 3 + 1 + 404 + 213 + 9 + 0 + 24 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31404213902441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28627359436 + ... + 28627360532.

It is an arithmetic number, because the mean of its divisors is an integer number (154621529370).

Almost surely, 2^{31404213902448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31404213902448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49478889398400).

31404213902448 is an abundant number, since it is smaller than the sum of its proper divisors (67553564894352).

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

31404213902448 is a wasteful number, since it uses less digits than its factorization.

31404213902448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 31404213902448 in words is "thirty-one trillion, four hundred four billion, two hundred thirteen million, nine hundred two thousand, four hundred forty-eight".