146360142415344 has 640 divisors, whose sum is σ = 463516269060096. Its totient is φ = 39188920320000.

The previous prime is 146360142415303. The next prime is 146360142415373. The reversal of 146360142415344 is 443514241063641.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 146360142415293 and 146360142415302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27444239302 + ... + 27444244634.

Almost surely, 2^{146360142415344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146360142415344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231758134530048).

146360142415344 is an abundant number, since it is smaller than the sum of its proper divisors (317156126644752).

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

146360142415344 is a wasteful number, since it uses less digits than its factorization.

146360142415344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6777 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

Adding to 146360142415344 its reverse (443514241063641), we get a palindrome (589874383478985).

The spelling of 146360142415344 in words is "one hundred forty-six trillion, three hundred sixty billion, one hundred forty-two million, four hundred fifteen thousand, three hundred forty-four".