1457746227000 has 1280 divisors, whose sum is σ = 6034279680000. Its totient is φ = 328061664000.

The previous prime is 1457746226939. The next prime is 1457746227019. The reversal of 1457746227000 is 7226477541.

1457746227000 is a `hidden beast` number, since 1 + 4 + 577 + 4 + 6 + 2 + 2 + 70 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1972592631 + ... + 1972593369.

It is an arithmetic number, because the mean of its divisors is an integer number (4714281000).

Almost surely, 2^{1457746227000} is an apocalyptic number.

1457746227000 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 1457746227000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017139840000).

1457746227000 is an abundant number, since it is smaller than the sum of its proper divisors (4576533453000).

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

1457746227000 is an equidigital number, since it uses as much as digits as its factorization.

1457746227000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 1457746227000 in words is "one trillion, four hundred fifty-seven billion, seven hundred forty-six million, two hundred twenty-seven thousand".