48747006252 has 576 divisors, whose sum is σ = 167047695360. Its totient is φ = 12093235200.

The previous prime is 48747006251. The next prime is 48747006331. The reversal of 48747006252 is 25260074784.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48747006198 and 48747006207.

It is not an unprimeable number, because it can be changed into a prime (48747006251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90105102 + ... + 90105642.

It is an arithmetic number, because the mean of its divisors is an integer number (290013360).

Almost surely, 2^48747006252 is an apocalyptic number.

48747006252 is a gapful number since it is divisible by the number (42) 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 48747006252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83523847680).

48747006252 is an abundant number, since it is smaller than the sum of its proper divisors (118300689108).

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

48747006252 is a wasteful number, since it uses less digits than its factorization.

48747006252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 48747006252 in words is "forty-eight billion, seven hundred forty-seven million, six thousand, two hundred fifty-two".