46498692240 has 960 divisors, whose sum is σ = 211561459200. Its totient is φ = 8838512640.

The previous prime is 46498692199. The next prime is 46498692241. The reversal of 46498692240 is 4229689464.

46498692240 is a `hidden beast` number, since 46 + 498 + 6 + 92 + 24 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (46498692241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 107387064 + ... + 107387496.

It is an arithmetic number, because the mean of its divisors is an integer number (220376520).

Almost surely, 2^46498692240 is an apocalyptic number.

46498692240 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 46498692240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105780729600).

46498692240 is an abundant number, since it is smaller than the sum of its proper divisors (165062766960).

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

46498692240 is a wasteful number, since it uses less digits than its factorization.

46498692240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 46498692240 in words is "forty-six billion, four hundred ninety-eight million, six hundred ninety-two thousand, two hundred forty".