2263152667776 has 1536 divisors, whose sum is σ = 8657201203200. Its totient is φ = 511445975040.

The previous prime is 2263152667739. The next prime is 2263152667799. The reversal of 2263152667776 is 6777662513622.

It is a happy number.

Its product of digits (53343360) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11488084510 + ... + 11488084706.

It is an arithmetic number, because the mean of its divisors is an integer number (5636198700).

Almost surely, 2^{2263152667776} is an apocalyptic number.

2263152667776 is a gapful number since it is divisible by the number (26) 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 2263152667776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328600601600).

2263152667776 is an abundant number, since it is smaller than the sum of its proper divisors (6394048535424).

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

2263152667776 is a wasteful number, since it uses less digits than its factorization.

2263152667776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 252 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 60.

The spelling of 2263152667776 in words is "two trillion, two hundred sixty-three billion, one hundred fifty-two million, six hundred sixty-seven thousand, seven hundred seventy-six".