46390880452608 has 840 divisors, whose sum is σ = 144926844853896. Its totient is φ = 14829590937600.

The previous prime is 46390880452573. The next prime is 46390880452757. The reversal of 46390880452608 is 80625408809364.

46390880452608 is a `hidden beast` number, since 46 + 3 + 9 + 0 + 8 + 80 + 452 + 60 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7778476376064 + 38612404076544 = 2788992^2 + 6213888^2 .

It is a super-2 number, since 2×46390880452608² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 29871783160 + ... + 29871784712.

Almost surely, 2^{46390880452608} is an apocalyptic number.

46390880452608 is a gapful number since it is divisible by the number (48) 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 46390880452608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72463422426948).

46390880452608 is an abundant number, since it is smaller than the sum of its proper divisors (98535964401288).

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

46390880452608 is an frugal number, since it uses more digits than its factorization.

46390880452608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 46390880452608 in words is "forty-six trillion, three hundred ninety billion, eight hundred eighty million, four hundred fifty-two thousand, six hundred eight".