46487478464 has 112 divisors (see below), whose sum is σ = 106883972160. Its totient is φ = 19649433600.

The previous prime is 46487478419. The next prime is 46487478517.

46487478464 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×46487478464² (a number of 22 digits) contains 22 as substring.

Its product of digits (115605504) is a multiple of the sum of its prime divisors (4096).

It is a junction number, because it is equal to n+sod(n) for n = 46487478397 and 46487478406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12531842 + ... + 12535550.

It is an arithmetic number, because the mean of its divisors is an integer number (954321180).

Almost surely, 2^46487478464 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 46487478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53441986080).

46487478464 is an abundant number, since it is smaller than the sum of its proper divisors (60396493696).

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

46487478464 is a wasteful number, since it uses less digits than its factorization.

46487478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4096 counting only the distinct ones).

The product of its digits is 115605504, while the sum is 62.

The spelling of 46487478464 in words is "forty-six billion, four hundred eighty-seven million, four hundred seventy-eight thousand, four hundred sixty-four".