1268972961984 has 560 divisors, whose sum is σ = 4902069066048. Its totient is φ = 314985480192.

The previous prime is 1268972961979. The next prime is 1268972962003. The reversal of 1268972961984 is 4891692798621.

1268972961984 is a `hidden beast` number, since 1 + 2 + 68 + 97 + 296 + 198 + 4 = 666.

It is a super-2 number, since 2×1268972961984² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7940532 + ... + 8098764.

Almost surely, 2^{1268972961984} is an apocalyptic number.

1268972961984 is a gapful number since it is divisible by the number (14) 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 1268972961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451034533024).

1268972961984 is an abundant number, since it is smaller than the sum of its proper divisors (3633096104064).

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

1268972961984 is a wasteful number, since it uses less digits than its factorization.

1268972961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158294 (or 158275 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 72.

The spelling of 1268972961984 in words is "one trillion, two hundred sixty-eight billion, nine hundred seventy-two million, nine hundred sixty-one thousand, nine hundred eighty-four".