46951316496 has 320 divisors, whose sum is σ = 156663306240. Its totient is φ = 13186229760.

The previous prime is 46951316491. The next prime is 46951316513. The reversal of 46951316496 is 69461315964.

It is a happy number.

46951316496 is a `hidden beast` number, since 4 + 69 + 513 + 1 + 64 + 9 + 6 = 666.

It is a super-2 number, since 2×46951316496² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46951316491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71030406 + ... + 71031066.

It is an arithmetic number, because the mean of its divisors is an integer number (489572832).

Almost surely, 2^46951316496 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 46951316496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78331653120).

46951316496 is an abundant number, since it is smaller than the sum of its proper divisors (109711989744).

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

46951316496 is a wasteful number, since it uses less digits than its factorization.

46951316496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 46951316496 in words is "forty-six billion, nine hundred fifty-one million, three hundred sixteen thousand, four hundred ninety-six".