1023686157312 has 528 divisors, whose sum is σ = 3647691116160. Its totient is φ = 269264093184.

The previous prime is 1023686157287. The next prime is 1023686157349. The reversal of 1023686157312 is 2137516863201.

It is a happy number.

1023686157312 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 6 + 8 + 61 + 573 + 12 = 666.

It is a super-2 number, since 2×1023686157312² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363136639 + ... + 363139457.

Almost surely, 2^{1023686157312} is an apocalyptic number.

1023686157312 is a gapful number since it is divisible by the number (12) 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 1023686157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823845558080).

1023686157312 is an abundant number, since it is smaller than the sum of its proper divisors (2624004958848).

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

1023686157312 is a wasteful number, since it uses less digits than its factorization.

1023686157312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1023686157312 in words is "one trillion, twenty-three billion, six hundred eighty-six million, one hundred fifty-seven thousand, three hundred twelve".