1252418226048 has 640 divisors, whose sum is σ = 4149483085440. Its totient is φ = 371796480000.

The previous prime is 1252418226043. The next prime is 1252418226089. The reversal of 1252418226048 is 8406228142521.

It is a happy number.

1252418226048 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 4 + 18 + 22 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1252418225994 and 1252418226012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252418226043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1917944890 + ... + 1917945542.

It is an arithmetic number, because the mean of its divisors is an integer number (6483567321).

Almost surely, 2^{1252418226048} is an apocalyptic number.

1252418226048 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 1252418226048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074741542720).

1252418226048 is an abundant number, since it is smaller than the sum of its proper divisors (2897064859392).

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

1252418226048 is a wasteful number, since it uses less digits than its factorization.

1252418226048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1252418226048 in words is "one trillion, two hundred fifty-two billion, four hundred eighteen million, two hundred twenty-six thousand, forty-eight".