1516626406416 has 160 divisors (see below), whose sum is σ = 4333610631168. Its totient is φ = 453231313920.

The previous prime is 1516626406363. The next prime is 1516626406447. The reversal of 1516626406416 is 6146046266151.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11130636 + ... + 11266068.

Almost surely, 2^{1516626406416} is an apocalyptic number.

1516626406416 is a gapful number since it is divisible by the number (16) 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 1516626406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166805315584).

1516626406416 is an abundant number, since it is smaller than the sum of its proper divisors (2816984224752).

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

1516626406416 is a wasteful number, since it uses less digits than its factorization.

1516626406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135749 (or 135743 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 1516626406416 in words is "one trillion, five hundred sixteen billion, six hundred twenty-six million, four hundred six thousand, four hundred sixteen".