1157625648 has 80 divisors (see below), whose sum is σ = 3327093600. Its totient is φ = 385378560.

The previous prime is 1157625641. The next prime is 1157625649. The reversal of 1157625648 is 8465267511.

1157625648 is a `hidden beast` number, since 1 + 15 + 7 + 625 + 6 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1157625641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509058 + ... + 511326.

It is an arithmetic number, because the mean of its divisors is an integer number (41588670).

Almost surely, 2^1157625648 is an apocalyptic number.

1157625648 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 1157625648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663546800).

1157625648 is an abundant number, since it is smaller than the sum of its proper divisors (2169467952).

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

1157625648 is a wasteful number, since it uses less digits than its factorization.

1157625648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467 (or 3455 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1157625648 is about 34023.8981893610. The cubic root of 1157625648 is about 1050.0001959183. Note that the first 3 decimals are identical.

The spelling of 1157625648 in words is "one billion, one hundred fifty-seven million, six hundred twenty-five thousand, six hundred forty-eight".