45530154252450 has 576 divisors, whose sum is σ = 149499136800000. Its totient is φ = 9980337991680.

The previous prime is 45530154252449. The next prime is 45530154252461. The reversal of 45530154252450 is 5425245103554.

45530154252450 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 0 + 1 + 542 + 52 + 4 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45530154252396 and 45530154252405.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1184150826 + ... + 1184189274.

It is an arithmetic number, because the mean of its divisors is an integer number (259547112500).

Almost surely, 2^{45530154252450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45530154252450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74749568400000).

45530154252450 is an abundant number, since it is smaller than the sum of its proper divisors (103968982547550).

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

45530154252450 is a wasteful number, since it uses less digits than its factorization.

45530154252450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38684 (or 38644 counting only the distinct ones).

The product of its (nonzero) digits is 2400000, while the sum is 45.

The spelling of 45530154252450 in words is "forty-five trillion, five hundred thirty billion, one hundred fifty-four million, two hundred fifty-two thousand, four hundred fifty".