201533414115000 has 640 divisors, whose sum is σ = 692634142126080. Its totient is φ = 48445075200000.

The previous prime is 201533414114953. The next prime is 201533414115017. The reversal of 201533414115000 is 511414335102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9990244914 + ... + 9990265086.

It is an arithmetic number, because the mean of its divisors is an integer number (1082240847072).

Almost surely, 2^{201533414115000} is an apocalyptic number.

201533414115000 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 201533414115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346317071063040).

201533414115000 is an abundant number, since it is smaller than the sum of its proper divisors (491100728011080).

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

201533414115000 is a wasteful number, since it uses less digits than its factorization.

201533414115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20721 (or 20702 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 201533414115000 in words is "two hundred one trillion, five hundred thirty-three billion, four hundred fourteen million, one hundred fifteen thousand".