46258995456 has 576 divisors, whose sum is σ = 149711063040. Its totient is φ = 14050713600.

The previous prime is 46258995439. The next prime is 46258995473. The reversal of 46258995456 is 65459985264.

It is a happy number.

46258995456 is a `hidden beast` number, since 4 + 6 + 2 + 5 + 89 + 9 + 545 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (46258995439) and next prime (46258995473).

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

It is a super-3 number, since 3×46258995456³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46258995393 and 46258995402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458009806 + ... + 458009906.

It is an arithmetic number, because the mean of its divisors is an integer number (259915040).

Almost surely, 2^46258995456 is an apocalyptic number.

46258995456 is a gapful number since it is divisible by the number (46) 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 46258995456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74855531520).

46258995456 is an abundant number, since it is smaller than the sum of its proper divisors (103452067584).

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

46258995456 is a wasteful number, since it uses less digits than its factorization.

46258995456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 46258995456 in words is "forty-six billion, two hundred fifty-eight million, nine hundred ninety-five thousand, four hundred fifty-six".