18148620672000 has 4224 divisors, whose sum is σ = 87067581419520. Its totient is φ = 3643696742400.

The previous prime is 18148620671971. The next prime is 18148620672029. The reversal of 18148620672000 is 27602684181.

18148620672000 is a `hidden beast` number, since 1 + 8 + 14 + 8 + 620 + 6 + 7 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18148620671971) and next prime (18148620672029).

It is a super-2 number, since 2×18148620672000² (a number of 27 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 94034303904 + ... + 94034304096.

Almost surely, 2^{18148620672000} is an apocalyptic number.

18148620672000 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 18148620672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43533790709760).

18148620672000 is an abundant number, since it is smaller than the sum of its proper divisors (68918960747520).

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

18148620672000 is a wasteful number, since it uses less digits than its factorization.

18148620672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 18148620672000 in words is "eighteen trillion, one hundred forty-eight billion, six hundred twenty million, six hundred seventy-two thousand".