1301237388864 has 336 divisors, whose sum is σ = 4307208048000. Its totient is φ = 367899107328.

The previous prime is 1301237388863. The next prime is 1301237388911. The reversal of 1301237388864 is 4688837321031.

It is a happy number.

1301237388864 is a `hidden beast` number, since 130 + 1 + 2 + 373 + 8 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 1301237388864.

It is not an unprimeable number, because it can be changed into a prime (1301237388863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482116987 + ... + 482119685.

Almost surely, 2^{1301237388864} is an apocalyptic number.

1301237388864 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 1301237388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153604024000).

1301237388864 is an abundant number, since it is smaller than the sum of its proper divisors (3005970659136).

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

1301237388864 is a wasteful number, since it uses less digits than its factorization.

1301237388864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1301237388864 in words is "one trillion, three hundred one billion, two hundred thirty-seven million, three hundred eighty-eight thousand, eight hundred sixty-four".