6414062198700 has 144 divisors (see below), whose sum is σ = 19989271604736. Its totient is φ = 1578552864000.

The previous prime is 6414062198699. The next prime is 6414062198729. The reversal of 6414062198700 is 78912604146.

It is a super-2 number, since 2×6414062198700² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6414062198700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21233725 + ... + 21533675.

It is an arithmetic number, because the mean of its divisors is an integer number (138814386144).

Almost surely, 2^{6414062198700} is an apocalyptic number.

6414062198700 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 6414062198700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9994635802368).

6414062198700 is an abundant number, since it is smaller than the sum of its proper divisors (13575209406036).

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

6414062198700 is a wasteful number, since it uses less digits than its factorization.

6414062198700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305464 (or 305457 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 6414062198700 in words is "six trillion, four hundred fourteen billion, sixty-two million, one hundred ninety-eight thousand, seven hundred".