46198563840 has 1760 divisors, whose sum is σ = 209721536640. Its totient is φ = 9555148800.

The previous prime is 46198563839. The next prime is 46198563889. The reversal of 46198563840 is 4836589164.

46198563840 is a `hidden beast` number, since 461 + 9 + 85 + 63 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1126794220 + ... + 1126794260.

It is an arithmetic number, because the mean of its divisors is an integer number (119159964).

Almost surely, 2^46198563840 is an apocalyptic number.

46198563840 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 46198563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104860768320).

46198563840 is an abundant number, since it is smaller than the sum of its proper divisors (163522972800).

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

46198563840 is a wasteful number, since it uses less digits than its factorization.

46198563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 461985 and 63840, that added together give a triangular number (525825 = T₁₀₂₅).

The spelling of 46198563840 in words is "forty-six billion, one hundred ninety-eight million, five hundred sixty-three thousand, eight hundred forty".