1945505412900 has 324 divisors, whose sum is σ = 7227535072212. Its totient is φ = 436296107520.

The previous prime is 1945505412871. The next prime is 1945505412967. The reversal of 1945505412900 is 92145055491.

1945505412900 is a `hidden beast` number, since 1 + 9 + 4 + 550 + 5 + 4 + 1 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 88123484736 + 1857381928164 = 296856^2 + 1362858^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1921114 + ... + 2753486.

It is an arithmetic number, because the mean of its divisors is an integer number (22307207013).

Almost surely, 2^{1945505412900} is an apocalyptic number.

1945505412900 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 1945505412900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613767536106).

1945505412900 is an abundant number, since it is smaller than the sum of its proper divisors (5282029659312).

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

1945505412900 is a wasteful number, since it uses less digits than its factorization.

1945505412900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832460 (or 832443 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1945505412900 in words is "one trillion, nine hundred forty-five billion, five hundred five million, four hundred twelve thousand, nine hundred".