16452294408000 has 2688 divisors, whose sum is σ = 72619912834560. Its totient is φ = 3503554560000.

The previous prime is 16452294407999. The next prime is 16452294408031. The reversal of 16452294408000 is 80449225461.

It is a happy number.

16452294408000 is a `hidden beast` number, since 1 + 6 + 4 + 522 + 9 + 4 + 40 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18674567560 + ... + 18674568440.

It is an arithmetic number, because the mean of its divisors is an integer number (27016336620).

Almost surely, 2^{16452294408000} is an apocalyptic number.

16452294408000 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 16452294408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36309956417280).

16452294408000 is an abundant number, since it is smaller than the sum of its proper divisors (56167618426560).

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

16452294408000 is a wasteful number, since it uses less digits than its factorization.

16452294408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 16452294408000 in words is "sixteen trillion, four hundred fifty-two billion, two hundred ninety-four million, four hundred eight thousand".