2263572546048 has 320 divisors, whose sum is σ = 7330333507200. Its totient is φ = 683971706880.

The previous prime is 2263572545989. The next prime is 2263572546101. The reversal of 2263572546048 is 8406452753622.

2263572546048 is a `hidden beast` number, since 2 + 2 + 6 + 3 + 5 + 7 + 25 + 4 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2263572545985 and 2263572546003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53657508 + ... + 53699676.

It is an arithmetic number, because the mean of its divisors is an integer number (22907292210).

Almost surely, 2^{2263572546048} 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 2263572546048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665166753600).

2263572546048 is an abundant number, since it is smaller than the sum of its proper divisors (5066760961152).

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

2263572546048 is a wasteful number, since it uses less digits than its factorization.

2263572546048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42560 (or 42538 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 2263572546048 in words is "two trillion, two hundred sixty-three billion, five hundred seventy-two million, five hundred forty-six thousand, forty-eight".