2045436547000 has 384 divisors, whose sum is σ = 6134223026880. Its totient is φ = 631209600000.

The previous prime is 2045436546983. The next prime is 2045436547027. The reversal of 2045436547000 is 7456345402.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54420214 + ... + 54457786.

Almost surely, 2^{2045436547000} is an apocalyptic number.

2045436547000 is a gapful number since it is divisible by the number (20) 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 2045436547000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067111513440).

2045436547000 is an abundant number, since it is smaller than the sum of its proper divisors (4088786479880).

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

2045436547000 is a wasteful number, since it uses less digits than its factorization.

2045436547000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37720 (or 37699 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 40.

The spelling of 2045436547000 in words is "two trillion, forty-five billion, four hundred thirty-six million, five hundred forty-seven thousand".