46488144188464 has 80 divisors (see below), whose sum is σ = 102673772743680. Its totient is φ = 20184123745280.

The previous prime is 46488144188443. The next prime is 46488144188531.

46488144188464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46488144188464² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (70) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46488144188393 and 46488144188402.

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, 5075737 + ... + 10896760.

It is an arithmetic number, because the mean of its divisors is an integer number (1283422159296).

Almost surely, 2^{46488144188464} is an apocalyptic number.

46488144188464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46488144188464 is an abundant number, since it is smaller than the sum of its proper divisors (56185628555216).

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

46488144188464 is a wasteful number, since it uses less digits than its factorization.

46488144188464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15973258 (or 15973252 counting only the distinct ones).

The product of its digits is 603979776, while the sum is 70.

The spelling of 46488144188464 in words is "forty-six trillion, four hundred eighty-eight billion, one hundred forty-four million, one hundred eighty-eight thousand, four hundred sixty-four".