18946956057120 has 576 divisors, whose sum is σ = 79729659120384. Its totient is φ = 3989941493760.

The previous prime is 18946956057103. The next prime is 18946956057167. The reversal of 18946956057120 is 2175065964981.

18946956057120 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 6 + 9 + 5 + 605 + 7 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68395690 + ... + 68672150.

It is an arithmetic number, because the mean of its divisors is an integer number (138419547084).

Almost surely, 2^{18946956057120} is an apocalyptic number.

18946956057120 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 18946956057120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39864829560192).

18946956057120 is an abundant number, since it is smaller than the sum of its proper divisors (60782703063264).

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

18946956057120 is a wasteful number, since it uses less digits than its factorization.

18946956057120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277025 (or 277014 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 18946956057120 in words is "eighteen trillion, nine hundred forty-six billion, nine hundred fifty-six million, fifty-seven thousand, one hundred twenty".