146011514004 has 72 divisors (see below), whose sum is σ = 383507735520. Its totient is φ = 48574720224.

The previous prime is 146011513993. The next prime is 146011514021. The reversal of 146011514004 is 400415110641.

146011514004 is a `hidden beast` number, since 1 + 4 + 601 + 1 + 51 + 4 + 0 + 0 + 4 = 666.

146011514004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146011514004² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347187 + ... + 642309.

Almost surely, 2^146011514004 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 146011514004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191753867760).

146011514004 is an abundant number, since it is smaller than the sum of its proper divisors (237496221516).

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

146011514004 is a wasteful number, since it uses less digits than its factorization.

146011514004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295651 (or 295637 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 146011514004 its reverse (400415110641), we get a palindrome (546426624645).

The spelling of 146011514004 in words is "one hundred forty-six billion, eleven million, five hundred fourteen thousand, four".