146263146071040 has 2112 divisors, whose sum is σ = 560952427216896. Its totient is φ = 35124535885824.

The previous prime is 146263146070963. The next prime is 146263146071101. The reversal of 146263146071040 is 40170641362641.

146263146071040 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 6 + 31 + 4 + 607 + 1 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214148090539 + ... + 214148091221.

It is an arithmetic number, because the mean of its divisors is an integer number (265602475008).

Almost surely, 2^{146263146071040} is an apocalyptic number.

146263146071040 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 146263146071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280476213608448).

146263146071040 is an abundant number, since it is smaller than the sum of its proper divisors (414689281145856).

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

146263146071040 is a wasteful number, since it uses less digits than its factorization.

146263146071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 146263146071040 in words is "one hundred forty-six trillion, two hundred sixty-three billion, one hundred forty-six million, seventy-one thousand, forty".