1378804417536 has 1408 divisors, whose sum is σ = 5070952857600. Its totient is φ = 329475686400.

The previous prime is 1378804417489. The next prime is 1378804417579. The reversal of 1378804417536 is 6357144088731.

It is a super-2 number, since 2×1378804417536² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7218871201 + ... + 7218871391.

Almost surely, 2^{1378804417536} is an apocalyptic number.

1378804417536 is a gapful number since it is divisible by the number (16) 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 1378804417536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535476428800).

1378804417536 is an abundant number, since it is smaller than the sum of its proper divisors (3692148440064).

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

1378804417536 is a wasteful number, since it uses less digits than its factorization.

1378804417536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 1378804417536 in words is "one trillion, three hundred seventy-eight billion, eight hundred four million, four hundred seventeen thousand, five hundred thirty-six".