1375514784 has 240 divisors, whose sum is σ = 4724552448. Its totient is φ = 384403968.

The previous prime is 1375514759. The next prime is 1375514797. The reversal of 1375514784 is 4874155731.

1375514784 is a `hidden beast` number, since 13 + 7 + 551 + 4 + 7 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 851962 + ... + 853574.

Almost surely, 2^1375514784 is an apocalyptic number.

1375514784 is a gapful number since it is divisible by the number (14) 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 1375514784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362276224).

1375514784 is an abundant number, since it is smaller than the sum of its proper divisors (3349037664).

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

1375514784 is a wasteful number, since it uses less digits than its factorization.

1375514784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1672 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 1375514784 is about 37087.9331319501. The cubic root of 1375514784 is about 1112.1288000145.

The spelling of 1375514784 in words is "one billion, three hundred seventy-five million, five hundred fourteen thousand, seven hundred eighty-four".