1545746225400 has 384 divisors, whose sum is σ = 5763552984000. Its totient is φ = 378516602880.

The previous prime is 1545746225399. The next prime is 1545746225423. The reversal of 1545746225400 is 45226475451.

1545746225400 is a `hidden beast` number, since 1 + 5 + 4 + 574 + 6 + 22 + 54 + 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 95 ways as a sum of consecutive naturals, for example, 13491556 + ... + 13605644.

Almost surely, 2^{1545746225400} is an apocalyptic number.

1545746225400 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 1545746225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881776492000).

1545746225400 is an abundant number, since it is smaller than the sum of its proper divisors (4217806758600).

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

1545746225400 is a wasteful number, since it uses less digits than its factorization.

1545746225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114320 (or 114305 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 1545746225400 in words is "one trillion, five hundred forty-five billion, seven hundred forty-six million, two hundred twenty-five thousand, four hundred".