1450918589100 has 144 divisors (see below), whose sum is σ = 4445596463616. Its totient is φ = 364097664000.

The previous prime is 1450918589093. The next prime is 1450918589147. The reversal of 1450918589100 is 19858190541.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 42368985 + ... + 42403215.

It is an arithmetic number, because the mean of its divisors is an integer number (30872197664).

Almost surely, 2^{1450918589100} is an apocalyptic number.

1450918589100 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 1450918589100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222798231808).

1450918589100 is an abundant number, since it is smaller than the sum of its proper divisors (2994677874516).

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

1450918589100 is a wasteful number, since it uses less digits than its factorization.

1450918589100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42576 (or 42569 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 51.

The spelling of 1450918589100 in words is "one trillion, four hundred fifty billion, nine hundred eighteen million, five hundred eighty-nine thousand, one hundred".