46624888842664 has 128 divisors (see below), whose sum is σ = 98645669544960. Its totient is φ = 20467814400000.

The previous prime is 46624888842647. The next prime is 46624888842667.

46624888842664 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×46624888842664³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (46624888842667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4709104114 + ... + 4709114014.

It is an arithmetic number, because the mean of its divisors is an integer number (770669293320).

Almost surely, 2^{46624888842664} is an apocalyptic number.

46624888842664 is a gapful number since it is divisible by the number (44) 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 46624888842664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49322834772480).

46624888842664 is an abundant number, since it is smaller than the sum of its proper divisors (52020780702296).

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

46624888842664 is a wasteful number, since it uses less digits than its factorization.

46624888842664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13283 (or 13279 counting only the distinct ones).

The product of its digits is 5435817984, while the sum is 76.

The spelling of 46624888842664 in words is "forty-six trillion, six hundred twenty-four billion, eight hundred eighty-eight million, eight hundred forty-two thousand, six hundred sixty-four".