1463107094064 has 720 divisors, whose sum is σ = 5327154683136. Its totient is φ = 378165542400.

The previous prime is 1463107094047. The next prime is 1463107094101. The reversal of 1463107094064 is 4604907013641.

1463107094064 is a `hidden beast` number, since 1 + 4 + 631 + 0 + 7 + 0 + 9 + 4 + 0 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2562358899 + ... + 2562359469.

Almost surely, 2^{1463107094064} is an apocalyptic number.

1463107094064 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 1463107094064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663577341568).

1463107094064 is an abundant number, since it is smaller than the sum of its proper divisors (3864047589072).

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

1463107094064 is an equidigital number, since it uses as much as digits as its factorization.

1463107094064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1463107094064 in words is "one trillion, four hundred sixty-three billion, one hundred seven million, ninety-four thousand, sixty-four".