146403272278368 has 1728 divisors, whose sum is σ = 534200037396480. Its totient is φ = 37878819471360.

The previous prime is 146403272278283. The next prime is 146403272278369. The reversal of 146403272278368 is 863872272304641.

146403272278368 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 0 + 327 + 2 + 278 + 36 + 8 = 666.

It is a super-2 number, since 2×146403272278368² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146403272278369) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 291060183205 + ... + 291060183707.

It is an arithmetic number, because the mean of its divisors is an integer number (309143540160).

Almost surely, 2^{146403272278368} is an apocalyptic number.

146403272278368 is a gapful number since it is divisible by the number (18) 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 146403272278368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267100018698240).

146403272278368 is an abundant number, since it is smaller than the sum of its proper divisors (387796765118112).

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

146403272278368 is a wasteful number, since it uses less digits than its factorization.

146403272278368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 146403272278368 in words is "one hundred forty-six trillion, four hundred three billion, two hundred seventy-two million, two hundred seventy-eight thousand, three hundred sixty-eight".