1298906972416 has 243 divisors, whose sum is σ = 2878185000159. Its totient is φ = 584910222336.

The previous prime is 1298906972411. The next prime is 1298906972417. The reversal of 1298906972416 is 6142796098921.

The square root of 1298906972416 is 1139696.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (1298906972411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7968754351 + ... + 7968754513.

Almost surely, 2^{1298906972416} is an apocalyptic number.

1298906972416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1298906972416 is the 1139696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1298906972416

1298906972416 is an abundant number, since it is smaller than the sum of its proper divisors (1579278027743).

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

1298906972416 is an frugal number, since it uses more digits than its factorization.

1298906972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 64.

Multiplying 1298906972416 by its sum of digits (64), we get a square (83130046234624 = 9117568²).

1298906972416 divided by its sum of digits (64) gives a square (20295421444 = 142462²).

The spelling of 1298906972416 in words is "one trillion, two hundred ninety-eight billion, nine hundred six million, nine hundred seventy-two thousand, four hundred sixteen".