1014635114220 has 192 divisors, whose sum is σ = 3531210310656. Its totient is φ = 211957171200.

The previous prime is 1014635114179. The next prime is 1014635114281. The reversal of 1014635114220 is 224115364101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368494 + ... + 1471413.

It is an arithmetic number, because the mean of its divisors is an integer number (18391720368).

Almost surely, 2^{1014635114220} is an apocalyptic number.

1014635114220 is a gapful number since it is divisible by the number (10) 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 1014635114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765605155328).

1014635114220 is an abundant number, since it is smaller than the sum of its proper divisors (2516575196436).

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

1014635114220 is a wasteful number, since it uses less digits than its factorization.

1014635114220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840040 (or 1840038 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1014635114220 in words is "one trillion, fourteen billion, six hundred thirty-five million, one hundred fourteen thousand, two hundred twenty".