46278992148480 has 4608 divisors, whose sum is σ = 215960000256000. Its totient is φ = 9438958190592.

The previous prime is 46278992148479. The next prime is 46278992148509. The reversal of 46278992148480 is 8484129987264.

It is a happy number.

46278992148480 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 89 + 9 + 21 + 48 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-3 number, since 3×46278992148480³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 46278992148399 and 46278992148408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 477103011792 + ... + 477103011888.

It is an arithmetic number, because the mean of its divisors is an integer number (46866319500).

Almost surely, 2^{46278992148480} is an apocalyptic number.

46278992148480 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 46278992148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107980000128000).

46278992148480 is an abundant number, since it is smaller than the sum of its proper divisors (169681008107520).

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

46278992148480 is an equidigital number, since it uses as much as digits as its factorization.

46278992148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 46278992148480 in words is "forty-six trillion, two hundred seventy-eight billion, nine hundred ninety-two million, one hundred forty-eight thousand, four hundred eighty".