1381149792 has 288 divisors, whose sum is σ = 4528427904. Its totient is φ = 410572800.

The previous prime is 1381149787. The next prime is 1381149827. The reversal of 1381149792 is 2979411831.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (108864) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5730792 + ... + 5731032.

It is an arithmetic number, because the mean of its divisors is an integer number (15723708).

Almost surely, 2^1381149792 is an apocalyptic number.

1381149792 is a gapful number since it is divisible by the number (12) 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 1381149792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264213952).

1381149792 is an abundant number, since it is smaller than the sum of its proper divisors (3147278112).

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

1381149792 is a wasteful number, since it uses less digits than its factorization.

1381149792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1381149792 is about 37163.8236999370. The cubic root of 1381149792 is about 1113.6453998286.

The spelling of 1381149792 in words is "one billion, three hundred eighty-one million, one hundred forty-nine thousand, seven hundred ninety-two".