146406673476 has 240 divisors, whose sum is σ = 444573360000. Its totient is φ = 41151255552.

The previous prime is 146406673459. The next prime is 146406673487. The reversal of 146406673476 is 674376604641.

146406673476 is a `hidden beast` number, since 1 + 4 + 6 + 40 + 66 + 73 + 476 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36156700 + ... + 36160748.

It is an arithmetic number, because the mean of its divisors is an integer number (1852389000).

Almost surely, 2^146406673476 is an apocalyptic number.

146406673476 is the 191316-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146406673476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222286680000).

146406673476 is an abundant number, since it is smaller than the sum of its proper divisors (298166686524).

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

146406673476 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (146406673475) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (4328).

146406673476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 146406673476 in words is "one hundred forty-six billion, four hundred six million, six hundred seventy-three thousand, four hundred seventy-six".