4900186368000 has 4032 divisors, whose sum is σ = 23773343892480. Its totient is φ = 985374720000.

The previous prime is 4900186367987. The next prime is 4900186368017. The reversal of 4900186368000 is 8636810094.

4900186368000 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 1 + 8 + 636 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×4900186368000² (a number of 26 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 335 ways as a sum of consecutive naturals, for example, 158070527985 + ... + 158070528015.

It is an arithmetic number, because the mean of its divisors is an integer number (5896166640).

Almost surely, 2^{4900186368000} is an apocalyptic number.

4900186368000 is a gapful number since it is divisible by the number (40) 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 4900186368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886671946240).

4900186368000 is an abundant number, since it is smaller than the sum of its proper divisors (18873157524480).

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

4900186368000 is an equidigital number, since it uses as much as digits as its factorization.

4900186368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 4900186368000 in words is "four trillion, nine hundred billion, one hundred eighty-six million, three hundred sixty-eight thousand".