46615444451664 has 160 divisors (see below), whose sum is σ = 134939036384640. Its totient is φ = 13742310758400.

The previous prime is 46615444451659. The next prime is 46615444451669.

46615444451664 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46615444451659) and next prime (46615444451669).

It is a super-2 number, since 2×46615444451664² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46615444451598 and 46615444451607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46615444451669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152794954 + ... + 153099734.

It is an arithmetic number, because the mean of its divisors is an integer number (843368977404).

Almost surely, 2^{46615444451664} is an apocalyptic number.

46615444451664 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 46615444451664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67469518192320).

46615444451664 is an abundant number, since it is smaller than the sum of its proper divisors (88323591932976).

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

46615444451664 is a wasteful number, since it uses less digits than its factorization.

46615444451664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312669 (or 312663 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 46615444451664 in words is "forty-six trillion, six hundred fifteen billion, four hundred forty-four million, four hundred fifty-one thousand, six hundred sixty-four".