1463797331136 has 224 divisors, whose sum is σ = 4973311872000. Its totient is φ = 413528315904.

The previous prime is 1463797331119. The next prime is 1463797331167. The reversal of 1463797331136 is 6311337973641.

1463797331136 is a `hidden beast` number, since 1 + 46 + 379 + 73 + 31 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 396685 + ... + 1756403.

Almost surely, 2^{1463797331136} is an apocalyptic number.

1463797331136 is a gapful number since it is divisible by the number (16) 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 1463797331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486655936000).

1463797331136 is an abundant number, since it is smaller than the sum of its proper divisors (3509514540864).

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

1463797331136 is a wasteful number, since it uses less digits than its factorization.

1463797331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359836 (or 1359820 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The spelling of 1463797331136 in words is "one trillion, four hundred sixty-three billion, seven hundred ninety-seven million, three hundred thirty-one thousand, one hundred thirty-six".