363115146240 has 1760 divisors, whose sum is σ = 1653804117504. Its totient is φ = 73999319040.

The previous prime is 363115146239. The next prime is 363115146281. The reversal of 363115146240 is 42641511363.

363115146240 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 15 + 14 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×363115146240² (a number of 24 digits) contains 22 as substring.

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 = 363115146195 and 363115146204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2650475452 + ... + 2650475588.

Almost surely, 2^363115146240 is an apocalyptic number.

363115146240 is a gapful number since it is divisible by the number (30) 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 363115146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826902058752).

363115146240 is an abundant number, since it is smaller than the sum of its proper divisors (1290688971264).

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

363115146240 is a wasteful number, since it uses less digits than its factorization.

363115146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 363115146240 in words is "three hundred sixty-three billion, one hundred fifteen million, one hundred forty-six thousand, two hundred forty".