46031431680 has 576 divisors, whose sum is σ = 178297217280. Its totient is φ = 11322851328.

The previous prime is 46031431669. The next prime is 46031431763. The reversal of 46031431680 is 8613413064.

It is a happy number.

46031431680 is a `hidden beast` number, since 4 + 603 + 1 + 43 + 1 + 6 + 8 + 0 = 666.

46031431680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32347449 + ... + 32348871.

It is an arithmetic number, because the mean of its divisors is an integer number (309543780).

Almost surely, 2^46031431680 is an apocalyptic number.

46031431680 is a gapful number since it is divisible by the number (40) 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 46031431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89148608640).

46031431680 is an abundant number, since it is smaller than the sum of its proper divisors (132265785600).

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

46031431680 is a wasteful number, since it uses less digits than its factorization.

46031431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 46031431680 in words is "forty-six billion, thirty-one million, four hundred thirty-one thousand, six hundred eighty".