214653414451000 has 256 divisors, whose sum is σ = 604287626342400. Its totient is φ = 69718527360000.

The previous prime is 214653414450961. The next prime is 214653414451001. The reversal of 214653414451000 is 154414356412.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214653414451001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4900629100 + ... + 4900672900.

It is an arithmetic number, because the mean of its divisors is an integer number (2360498540400).

Almost surely, 2^{214653414451000} is an apocalyptic number.

214653414451000 is a gapful number since it is divisible by the number (20) 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 214653414451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302143813171200).

214653414451000 is an abundant number, since it is smaller than the sum of its proper divisors (389634211891400).

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

214653414451000 is a wasteful number, since it uses less digits than its factorization.

214653414451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80695 (or 80681 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 214653414451000 in words is "two hundred fourteen trillion, six hundred fifty-three billion, four hundred fourteen million, four hundred fifty-one thousand".