46407499776 has 675 divisors, whose sum is σ = 161887034617. Its totient is φ = 13235650560.

The previous prime is 46407499771. The next prime is 46407499781. The reversal of 46407499776 is 67799470464.

The square root of 46407499776 is 215424.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (46407499771) and next prime (46407499781).

It can be written as a sum of positive squares in only one way, i.e., 36130406400 + 10277093376 = 190080^2 + 101376^2 .

It is not an unprimeable number, because it can be changed into a prime (46407499771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2729852920 + ... + 2729852936.

Almost surely, 2^46407499776 is an apocalyptic number.

46407499776 is the 215424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46407499776

46407499776 is an abundant number, since it is smaller than the sum of its proper divisors (115479534841).

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

46407499776 is an equidigital number, since it uses as much as digits as its factorization.

46407499776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 46407499776 in words is "forty-six billion, four hundred seven million, four hundred ninety-nine thousand, seven hundred seventy-six".