31464466176 has 144 divisors (see below), whose sum is σ = 98381808000. Its totient is φ = 8801218560.

The previous prime is 31464466157. The next prime is 31464466199. The reversal of 31464466176 is 67166446413.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 33426 + ... + 253073.

It is an arithmetic number, because the mean of its divisors is an integer number (683207000).

Almost surely, 2^31464466176 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 31464466176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49190904000).

31464466176 is an abundant number, since it is smaller than the sum of its proper divisors (66917341824).

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

31464466176 is a wasteful number, since it uses less digits than its factorization.

31464466176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286542 (or 286528 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 31464466176 in words is "thirty-one billion, four hundred sixty-four million, four hundred sixty-six thousand, one hundred seventy-six".