1378984416 has 48 divisors (see below), whose sum is σ = 3622150224. Its totient is φ = 459367424.

The previous prime is 1378984379. The next prime is 1378984433. The reversal of 1378984416 is 6144898731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-5 number, since 5×1378984416⁵ (a number of 47 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188116 + ... + 195308.

It is an arithmetic number, because the mean of its divisors is an integer number (75461463).

Almost surely, 2^1378984416 is an apocalyptic number.

1378984416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1378984416 is an abundant number, since it is smaller than the sum of its proper divisors (2243165808).

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

1378984416 is a wasteful number, since it uses less digits than its factorization.

1378984416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9203 (or 9195 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 1378984416 is about 37134.6794250334. The cubic root of 1378984416 is about 1113.0631018117.

The spelling of 1378984416 in words is "one billion, three hundred seventy-eight million, nine hundred eighty-four thousand, four hundred sixteen".