1377600048 has 180 divisors, whose sum is σ = 4371057288. Its totient is φ = 417104640.

The previous prime is 1377600017. The next prime is 1377600067. The reversal of 1377600048 is 8400067731.

1377600048 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 600 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1377599985 and 1377600021.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1154140 + ... + 1155332.

Almost surely, 2^1377600048 is an apocalyptic number.

1377600048 is a gapful number since it is divisible by the number (18) 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 1377600048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185528644).

1377600048 is an abundant number, since it is smaller than the sum of its proper divisors (2993457240).

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

1377600048 is an equidigital number, since it uses as much as digits as its factorization.

1377600048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1377600048 is about 37116.0349175393. The cubic root of 1377600048 is about 1112.6905075931.

Adding to 1377600048 its reverse (8400067731), we get a palindrome (9777667779).

The spelling of 1377600048 in words is "one billion, three hundred seventy-seven million, six hundred thousand, forty-eight".