13578037452 has 240 divisors, whose sum is σ = 42688800000. Its totient is φ = 3681127296.

The previous prime is 13578037441. The next prime is 13578037493. The reversal of 13578037452 is 25473087531.

13578037452 is a `hidden beast` number, since 1 + 3 + 578 + 0 + 3 + 74 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13578037398 and 13578037407.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3878799 + ... + 3882297.

It is an arithmetic number, because the mean of its divisors is an integer number (177870000).

Almost surely, 2^13578037452 is an apocalyptic number.

13578037452 is a gapful number since it is divisible by the number (12) 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 13578037452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21344400000).

13578037452 is an abundant number, since it is smaller than the sum of its proper divisors (29110762548).

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

13578037452 is a wasteful number, since it uses less digits than its factorization.

13578037452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 13578037452 in words is "thirteen billion, five hundred seventy-eight million, thirty-seven thousand, four hundred fifty-two".