46451978496 has 720 divisors, whose sum is σ = 176648693760. Its totient is φ = 11789660160.

The previous prime is 46451978483. The next prime is 46451978509. The reversal of 46451978496 is 69487915464.

46451978496 is a `hidden beast` number, since 4 + 6 + 4 + 51 + 97 + 8 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (46451978483) and next prime (46451978509).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75043275 + ... + 75043893.

It is an arithmetic number, because the mean of its divisors is an integer number (245345408).

Almost surely, 2^46451978496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46451978496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88324346880).

46451978496 is an abundant number, since it is smaller than the sum of its proper divisors (130196715264).

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

46451978496 is a wasteful number, since it uses less digits than its factorization.

46451978496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 689 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 46451978496 in words is "forty-six billion, four hundred fifty-one million, nine hundred seventy-eight thousand, four hundred ninety-six".