46032887324480 has 896 divisors, whose sum is σ = 137860784455680. Its totient is φ = 14282771005440.

The previous prime is 46032887324453. The next prime is 46032887324491. The reversal of 46032887324480 is 8442378823064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32213356406 + ... + 32213357834.

Almost surely, 2^{46032887324480} is an apocalyptic number.

46032887324480 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 46032887324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68930392227840).

46032887324480 is an abundant number, since it is smaller than the sum of its proper divisors (91827897131200).

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

46032887324480 is a wasteful number, since it uses less digits than its factorization.

46032887324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 59.

The spelling of 46032887324480 in words is "forty-six trillion, thirty-two billion, eight hundred eighty-seven million, three hundred twenty-four thousand, four hundred eighty".