146349491040 has 384 divisors, whose sum is σ = 524898662400. Its totient is φ = 38548680192.

The previous prime is 146349491039. The next prime is 146349491053. The reversal of 146349491040 is 40194943641.

146349491040 is a `hidden beast` number, since 1 + 4 + 634 + 9 + 4 + 9 + 1 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29040841 + ... + 29045879.

It is an arithmetic number, because the mean of its divisors is an integer number (1366923600).

Almost surely, 2^146349491040 is an apocalyptic number.

146349491040 is a gapful number since it is divisible by the number (10) 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 146349491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262449331200).

146349491040 is an abundant number, since it is smaller than the sum of its proper divisors (378549171360).

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

146349491040 is an frugal number, since it uses more digits than its factorization.

146349491040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 146349491040 in words is "one hundred forty-six billion, three hundred forty-nine million, four hundred ninety-one thousand, forty".