1357314048 has 144 divisors (see below), whose sum is σ = 3950037000. Its totient is φ = 449003520.

The previous prime is 1357314041. The next prime is 1357314059. The reversal of 1357314048 is 8404137531.

It is a happy number.

1357314048 is a `hidden beast` number, since 1 + 3 + 573 + 1 + 40 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357314041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3888978 + ... + 3889326.

Almost surely, 2^1357314048 is an apocalyptic number.

1357314048 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 1357314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975018500).

1357314048 is an abundant number, since it is smaller than the sum of its proper divisors (2592722952).

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

1357314048 is a wasteful number, since it uses less digits than its factorization.

1357314048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1357314048 is about 36841.7432812292. The cubic root of 1357314048 is about 1107.2017953572.

The spelling of 1357314048 in words is "one billion, three hundred fifty-seven million, three hundred fourteen thousand, forty-eight".