46126139904 has 640 divisors, whose sum is σ = 154870087680. Its totient is φ = 13460815872.

The previous prime is 46126139893. The next prime is 46126139929. The reversal of 46126139904 is 40993162164.

It is a super-2 number, since 2×46126139904² (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 46126139904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363197889 + ... + 363198015.

It is an arithmetic number, because the mean of its divisors is an integer number (241984512).

Almost surely, 2^46126139904 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 46126139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77435043840).

46126139904 is an abundant number, since it is smaller than the sum of its proper divisors (108743947776).

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

46126139904 is a wasteful number, since it uses less digits than its factorization.

46126139904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 46126139904 in words is "forty-six billion, one hundred twenty-six million, one hundred thirty-nine thousand, nine hundred four".