6181401600000 has 1680 divisors, whose sum is σ = 25273255658112. Its totient is φ = 1492992000000.

The previous prime is 6181401599953. The next prime is 6181401600029. The reversal of 6181401600000 is 61041816.

6181401600000 is a `hidden beast` number, since 6 + 18 + 1 + 40 + 1 + 600 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22809599865 + ... + 22809600135.

Almost surely, 2^{6181401600000} is an apocalyptic number.

6181401600000 is a gapful number since it is divisible by the number (60) 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 6181401600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636627829056).

6181401600000 is an abundant number, since it is smaller than the sum of its proper divisors (19091854058112).

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

6181401600000 is an frugal number, since it uses more digits than its factorization.

6181401600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 6181401600000 its reverse (61041816), we get a palindrome (6181462641816).

The spelling of 6181401600000 in words is "six trillion, one hundred eighty-one billion, four hundred one million, six hundred thousand".