46925300298240 has 2240 divisors, whose sum is σ = 211891813056000. Its totient is φ = 9898966941696.

The previous prime is 46925300298169. The next prime is 46925300298241. The reversal of 46925300298240 is 4289200352964.

46925300298240 is a `hidden beast` number, since 4 + 6 + 9 + 2 + 5 + 300 + 2 + 98 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is not an unprimeable number, because it can be changed into a prime (46925300298241) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8321561341 + ... + 8321566979.

It is an arithmetic number, because the mean of its divisors is an integer number (94594559400).

Almost surely, 2^{46925300298240} is an apocalyptic number.

46925300298240 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 46925300298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945906528000).

46925300298240 is an abundant number, since it is smaller than the sum of its proper divisors (164966512757760).

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

46925300298240 is an frugal number, since it uses more digits than its factorization.

46925300298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 46925300298240 in words is "forty-six trillion, nine hundred twenty-five billion, three hundred million, two hundred ninety-eight thousand, two hundred forty".