46061291520 has 576 divisors, whose sum is σ = 168065876160. Its totient is φ = 12097880064.

The previous prime is 46061291509. The next prime is 46061291543. The reversal of 46061291520 is 2519216064.

46061291520 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 129 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266250154 + ... + 266250326.

It is an arithmetic number, because the mean of its divisors is an integer number (291781035).

Almost surely, 2^46061291520 is an apocalyptic number.

46061291520 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 46061291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84032938080).

46061291520 is an abundant number, since it is smaller than the sum of its proper divisors (122004584640).

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

46061291520 is a wasteful number, since it uses less digits than its factorization.

46061291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 46061291520 in words is "forty-six billion, sixty-one million, two hundred ninety-one thousand, five hundred twenty".