45303742000 has 320 divisors, whose sum is σ = 130927155840. Its totient is φ = 14966784000.

The previous prime is 45303741991. The next prime is 45303742009. The reversal of 45303742000 is 24730354.

It is an interprime number because it is at equal distance from previous prime (45303741991) and next prime (45303742009).

It is a self number, because there is not a number n which added to its sum of digits gives 45303742000.

It is not an unprimeable number, because it can be changed into a prime (45303742009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10843912 + ... + 10848088.

It is an arithmetic number, because the mean of its divisors is an integer number (409147362).

Almost surely, 2^45303742000 is an apocalyptic number.

45303742000 is a gapful number since it is divisible by the number (40) 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 45303742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65463577920).

45303742000 is an abundant number, since it is smaller than the sum of its proper divisors (85623413840).

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

45303742000 is a wasteful number, since it uses less digits than its factorization.

45303742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The spelling of 45303742000 in words is "forty-five billion, three hundred three million, seven hundred forty-two thousand".