45042154893540 has 240 divisors, whose sum is σ = 161494694710272. Its totient is φ = 10294697597184.

The previous prime is 45042154893529. The next prime is 45042154893551. The reversal of 45042154893540 is 4539845124054.

45042154893540 is a `hidden beast` number, since 4 + 5 + 0 + 4 + 2 + 1 + 5 + 4 + 8 + 93 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (45042154893529) and next prime (45042154893551).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 191834854 + ... + 192069506.

Almost surely, 2^{45042154893540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45042154893540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80747347355136).

45042154893540 is an abundant number, since it is smaller than the sum of its proper divisors (116452539816732).

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

45042154893540 is a wasteful number, since it uses less digits than its factorization.

45042154893540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251608 (or 251597 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 45042154893540 in words is "forty-five trillion, forty-two billion, one hundred fifty-four million, eight hundred ninety-three thousand, five hundred forty".