30246494100480 has 1408 divisors, whose sum is σ = 128245303296000. Its totient is φ = 6614711009280.

The previous prime is 30246494100469. The next prime is 30246494100649. The reversal of 30246494100480 is 8400149464203.

30246494100480 is a `hidden beast` number, since 3 + 0 + 2 + 4 + 64 + 9 + 4 + 100 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2669823456 + ... + 2669834784.

It is an arithmetic number, because the mean of its divisors is an integer number (91083312000).

Almost surely, 2^{30246494100480} is an apocalyptic number.

30246494100480 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 30246494100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64122651648000).

30246494100480 is an abundant number, since it is smaller than the sum of its proper divisors (97998809195520).

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

30246494100480 is a wasteful number, since it uses less digits than its factorization.

30246494100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11490 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 30246494100480 in words is "thirty trillion, two hundred forty-six billion, four hundred ninety-four million, one hundred thousand, four hundred eighty".