163101404615040 has 640 divisors, whose sum is σ = 601285607920800. Its totient is φ = 42106212384768.

The previous prime is 163101404614963. The next prime is 163101404615047. The reversal of 163101404615040 is 40516404101361.

163101404615040 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 0 + 140 + 4 + 6 + 1 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 163101404614986 and 163101404615004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163101404615047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 251566806 + ... + 252214314.

Almost surely, 2^{163101404615040} is an apocalyptic number.

163101404615040 is a gapful number since it is divisible by the number (10) 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 163101404615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300642803960400).

163101404615040 is an abundant number, since it is smaller than the sum of its proper divisors (438184203305760).

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

163101404615040 is a wasteful number, since it uses less digits than its factorization.

163101404615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647696 (or 647675 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 163101404615040 in words is "one hundred sixty-three trillion, one hundred one billion, four hundred four million, six hundred fifteen thousand, forty".