1387846656 has 352 divisors, whose sum is σ = 4810613760. Its totient is φ = 387072000.

The previous prime is 1387846639. The next prime is 1387846661. The reversal of 1387846656 is 6566487831.

It is a super-2 number, since 2×1387846656² = 3852236681140764672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13741006 + ... + 13741106.

Almost surely, 2^1387846656 is an apocalyptic number.

1387846656 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 1387846656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405306880).

1387846656 is an abundant number, since it is smaller than the sum of its proper divisors (3422767104).

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

1387846656 is a wasteful number, since it uses less digits than its factorization.

1387846656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 1387846656 is about 37253.8139792424. The cubic root of 1387846656 is about 1115.4424316177.

The spelling of 1387846656 in words is "one billion, three hundred eighty-seven million, eight hundred forty-six thousand, six hundred fifty-six".