187420290048 has 704 divisors, whose sum is σ = 639528652800. Its totient is φ = 53827338240.

The previous prime is 187420289999. The next prime is 187420290077. The reversal of 187420290048 is 840092024781.

187420290048 is a `hidden beast` number, since 187 + 420 + 2 + 9 + 0 + 0 + 48 = 666.

It is a super-3 number, since 3×187420290048³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 187420289985 and 187420290012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276839086 + ... + 276839762.

Almost surely, 2^187420290048 is an apocalyptic number.

187420290048 is a gapful number since it is divisible by the number (18) 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 187420290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319764326400).

187420290048 is an abundant number, since it is smaller than the sum of its proper divisors (452108362752).

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

187420290048 is a wasteful number, since it uses less digits than its factorization.

187420290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 749 counting only the distinct ones).

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

The spelling of 187420290048 in words is "one hundred eighty-seven billion, four hundred twenty million, two hundred ninety thousand, forty-eight".