46464886569920 has 448 divisors, whose sum is σ = 147541606603776. Its totient is φ = 13518474117120.

The previous prime is 46464886569863. The next prime is 46464886569931. The reversal of 46464886569920 is 2996568846464.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20195315 + ... + 22378125.

It is an arithmetic number, because the mean of its divisors is an integer number (329333943312).

Almost surely, 2^{46464886569920} is an apocalyptic number.

46464886569920 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 46464886569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73770803301888).

46464886569920 is an abundant number, since it is smaller than the sum of its proper divisors (101076720033856).

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

46464886569920 is a wasteful number, since it uses less digits than its factorization.

46464886569920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182908 (or 2182898 counting only the distinct ones).

The product of its (nonzero) digits is 4299816960, while the sum is 77.

The spelling of 46464886569920 in words is "forty-six trillion, four hundred sixty-four billion, eight hundred eighty-six million, five hundred sixty-nine thousand, nine hundred twenty".