1915461052416 has 72 divisors (see below), whose sum is σ = 5532203239290. Its totient is φ = 638487011328.

The previous prime is 1915461052403. The next prime is 1915461052447. The reversal of 1915461052416 is 6142501645191.

1915461052416 is a `hidden beast` number, since 1 + 9 + 1 + 5 + 4 + 610 + 5 + 24 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1845511382016 + 69949670400 = 1358496^2 + 264480^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1915461052416² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 51941775 + ... + 51978638.

Almost surely, 2^{1915461052416} is an apocalyptic number.

1915461052416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1915461052416 is an abundant number, since it is smaller than the sum of its proper divisors (3616742186874).

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

1915461052416 is a wasteful number, since it uses less digits than its factorization.

1915461052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103920441 (or 103920418 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1915461052416 in words is "one trillion, nine hundred fifteen billion, four hundred sixty-one million, fifty-two thousand, four hundred sixteen".