46440890496 has 1536 divisors, whose sum is σ = 200170414080. Its totient is φ = 9926737920.

The previous prime is 46440890459. The next prime is 46440890539. The reversal of 46440890496 is 69409804464.

It is a happy number.

46440890496 is a `hidden beast` number, since 4 + 64 + 4 + 0 + 8 + 90 + 496 = 666.

It is a super-2 number, since 2×46440890496² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 450882381 + ... + 450882483.

It is an arithmetic number, because the mean of its divisors is an integer number (130319280).

Almost surely, 2^46440890496 is an apocalyptic number.

46440890496 is a gapful number since it is divisible by the number (46) 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 46440890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100085207040).

46440890496 is an abundant number, since it is smaller than the sum of its proper divisors (153729523584).

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

46440890496 is a wasteful number, since it uses less digits than its factorization.

46440890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46440890496 in words is "forty-six billion, four hundred forty million, eight hundred ninety thousand, four hundred ninety-six".