4547349090900 has 1152 divisors, whose sum is σ = 18661605580800. Its totient is φ = 922594406400.

The previous prime is 4547349090887. The next prime is 4547349090929. The reversal of 4547349090900 is 90909437454.

4547349090900 is a `hidden beast` number, since 4 + 547 + 3 + 4 + 9 + 0 + 9 + 0 + 90 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1563198646 + ... + 1563201554.

It is an arithmetic number, because the mean of its divisors is an integer number (16199310400).

Almost surely, 2^{4547349090900} 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 4547349090900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330802790400).

4547349090900 is an abundant number, since it is smaller than the sum of its proper divisors (14114256489900).

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

4547349090900 is a wasteful number, since it uses less digits than its factorization.

4547349090900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 4547349090900 in words is "four trillion, five hundred forty-seven billion, three hundred forty-nine million, ninety thousand, nine hundred".