631114848 has 384 divisors, whose sum is σ = 2370816000. Its totient is φ = 158754816.

The previous prime is 631114823. The next prime is 631114873. The reversal of 631114848 is 848411136.

It is a happy number.

631114848 is a `hidden beast` number, since 63 + 111 + 484 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (631114823) and next prime (631114873).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808178 + ... + 1808526.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2^631114848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185408000).

631114848 is an abundant number, since it is smaller than the sum of its proper divisors (1739701152).

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

631114848 is a wasteful number, since it uses less digits than its factorization.

631114848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 631114848 is about 25121.9992834965. Note that the first 3 decimals coincide. The cubic root of 631114848 is about 857.7672604587.

Adding to 631114848 its sum of digits (36), we get a square (631114884 = 25122²).

The spelling of 631114848 in words is "six hundred thirty-one million, one hundred fourteen thousand, eight hundred forty-eight".