46958887296 has 1024 divisors, whose sum is σ = 169205760000. Its totient is φ = 12700385280.

The previous prime is 46958887291. The next prime is 46958887307. The reversal of 46958887296 is 69278885964.

46958887296 is a `hidden beast` number, since 469 + 5 + 8 + 8 + 8 + 72 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46958887291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 795913315 + ... + 795913373.

It is an arithmetic number, because the mean of its divisors is an integer number (165240000).

Almost surely, 2^46958887296 is an apocalyptic number.

46958887296 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 46958887296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602880000).

46958887296 is an abundant number, since it is smaller than the sum of its proper divisors (122246872704).

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

46958887296 is a wasteful number, since it uses less digits than its factorization.

46958887296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 46958887296 in words is "forty-six billion, nine hundred fifty-eight million, eight hundred eighty-seven thousand, two hundred ninety-six".