1516290048 has 360 divisors, whose sum is σ = 5438797728. Its totient is φ = 396361728.

The previous prime is 1516290047. The next prime is 1516290053. The reversal of 1516290048 is 8400926151.

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 = 1516289994 and 1516290021.

It is not an unprimeable number, because it can be changed into a prime (1516290043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13418440 + ... + 13418552.

Almost surely, 2^1516290048 is an apocalyptic number.

1516290048 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 1516290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719398864).

1516290048 is an abundant number, since it is smaller than the sum of its proper divisors (3922507680).

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

1516290048 is a wasteful number, since it uses less digits than its factorization.

1516290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1516290048 is about 38939.5691809758. The cubic root of 1516290048 is about 1148.8432092954.

The spelling of 1516290048 in words is "one billion, five hundred sixteen million, two hundred ninety thousand, forty-eight".