1381455648 has 120 divisors (see below), whose sum is σ = 4276807920. Its totient is φ = 436233600.

The previous prime is 1381455641. The next prime is 1381455661. The reversal of 1381455648 is 8465541831.

1381455648 is a `hidden beast` number, since 1 + 3 + 81 + 4 + 5 + 564 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1381455641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35223 + ... + 63273.

It is an arithmetic number, because the mean of its divisors is an integer number (35640066).

Almost surely, 2^1381455648 is an apocalyptic number.

1381455648 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 1381455648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138403960).

1381455648 is an abundant number, since it is smaller than the sum of its proper divisors (2895352272).

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

1381455648 is a wasteful number, since it uses less digits than its factorization.

1381455648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28092 (or 28075 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 1381455648 is about 37167.9384416193. The cubic root of 1381455648 is about 1113.7275994542.

The spelling of 1381455648 in words is "one billion, three hundred eighty-one million, four hundred fifty-five thousand, six hundred forty-eight".