1377006456 has 128 divisors (see below), whose sum is σ = 4153996800. Its totient is φ = 371589120.

The previous prime is 1377006413. The next prime is 1377006457. The reversal of 1377006456 is 6546007731.

It is a super-2 number, since 2×1377006456² = 3792293559731359872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377006457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045736 + ... + 2046408.

It is an arithmetic number, because the mean of its divisors is an integer number (32453100).

Almost surely, 2^1377006456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377006456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076998400).

1377006456 is an abundant number, since it is smaller than the sum of its proper divisors (2776990344).

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

1377006456 is a wasteful number, since it uses less digits than its factorization.

1377006456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 1377006456 is about 37108.0376199012. The cubic root of 1377006456 is about 1112.5306694571.

The spelling of 1377006456 in words is "one billion, three hundred seventy-seven million, six thousand, four hundred fifty-six".