13451892480 has 576 divisors, whose sum is σ = 52195584000. Its totient is φ = 3260694528.

The previous prime is 13451892439. The next prime is 13451892497. The reversal of 13451892480 is 8429815431.

13451892480 is a `hidden beast` number, since 1 + 3 + 4 + 518 + 92 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×13451892480² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 35492931 + ... + 35493309.

Almost surely, 2^13451892480 is an apocalyptic number.

13451892480 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 13451892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26097792000).

13451892480 is an abundant number, since it is smaller than the sum of its proper divisors (38743691520).

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

13451892480 is a wasteful number, since it uses less digits than its factorization.

13451892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13451892480 in words is "thirteen billion, four hundred fifty-one million, eight hundred ninety-two thousand, four hundred eighty".