16451490951360 has 1120 divisors, whose sum is σ = 60341709542400. Its totient is φ = 4253325189120.

The previous prime is 16451490951359. The next prime is 16451490951361. The reversal of 16451490951360 is 6315909415461.

16451490951360 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 1 + 490 + 95 + 1 + 3 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (16451490951359) and next prime (16451490951361).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16451490951297 and 16451490951306.

It is not an unprimeable number, because it can be changed into a prime (16451490951361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43407627651 + ... + 43407628029.

Almost surely, 2^{16451490951360} is an apocalyptic number.

16451490951360 is a gapful number since it is divisible by the number (10) 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 16451490951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30170854771200).

16451490951360 is an abundant number, since it is smaller than the sum of its proper divisors (43890218591040).

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

16451490951360 is a wasteful number, since it uses less digits than its factorization.

16451490951360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 16451490951360 in words is "sixteen trillion, four hundred fifty-one billion, four hundred ninety million, nine hundred fifty-one thousand, three hundred sixty".