2263667407848 has 896 divisors, whose sum is σ = 8540077328640. Its totient is φ = 544195584000.

The previous prime is 2263667407847. The next prime is 2263667407871. The reversal of 2263667407848 is 8487047663622.

It is a happy number.

2263667407848 is a `hidden beast` number, since 226 + 366 + 7 + 4 + 0 + 7 + 8 + 48 = 666.

It is a super-2 number, since 2×2263667407848² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2263667407843) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 465676938 + ... + 465681798.

Almost surely, 2^{2263667407848} is an apocalyptic number.

2263667407848 is a gapful number since it is divisible by the number (28) 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 2263667407848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270038664320).

2263667407848 is an abundant number, since it is smaller than the sum of its proper divisors (6276409920792).

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

2263667407848 is a wasteful number, since it uses less digits than its factorization.

2263667407848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 2263667407848 in words is "two trillion, two hundred sixty-three billion, six hundred sixty-seven million, four hundred seven thousand, eight hundred forty-eight".