1023137837568 has 2160 divisors, whose sum is σ = 4177969155360. Its totient is φ = 248314429440.

The previous prime is 1023137837507. The next prime is 1023137837569. The reversal of 1023137837568 is 8657387313201.

It is a happy number.

1023137837568 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 1 + 3 + 78 + 3 + 7 + 568 = 666.

It is a super-2 number, since 2×1023137837568² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1023137837569) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14015586780 + ... + 14015586852.

Almost surely, 2^{1023137837568} is an apocalyptic number.

1023137837568 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 1023137837568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088984577680).

1023137837568 is an abundant number, since it is smaller than the sum of its proper divisors (3154831317792).

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

1023137837568 is an equidigital number, since it uses as much as digits as its factorization.

1023137837568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1023137837568 in words is "one trillion, twenty-three billion, one hundred thirty-seven million, eight hundred thirty-seven thousand, five hundred sixty-eight".