2263877538048 has 1440 divisors, whose sum is σ = 8623590345216. Its totient is φ = 575517229056.

The previous prime is 2263877538023. The next prime is 2263877538151. The reversal of 2263877538048 is 8408357783622.

2263877538048 is a `hidden beast` number, since 2 + 26 + 3 + 8 + 77 + 538 + 0 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6413250640 + ... + 6413250992.

Almost surely, 2^{2263877538048} is an apocalyptic number.

2263877538048 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 2263877538048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311795172608).

2263877538048 is an abundant number, since it is smaller than the sum of its proper divisors (6359712807168).

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

2263877538048 is a wasteful number, since it uses less digits than its factorization.

2263877538048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 2263877538048 in words is "two trillion, two hundred sixty-three billion, eight hundred seventy-seven million, five hundred thirty-eight thousand, forty-eight".